79:@0.942772:0.974518:0.963274:0.974518:0.963274:0.956333:0.942772:0.956333:0.000000:0.000000
Pensamiento numérico y variacional :@0.603816:0.043660:0.930949:0.043660:0.930949:0.024915:0.603816:0.024915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
7.3 Sistemas de tres ecuaciones lineales con tres incógnitas:@0.073091:0.136836:0.535262:0.136836:0.535262:0.119889:0.073091:0.119889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se designa con   al producto cartesiano   ×   ×  , esto es, :@0.073091:0.164198:0.518207:0.164199:0.518207:0.147766:0.073091:0.147764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ:@0.187142:0.164781:0.200432:0.164781:0.200432:0.147126:0.187142:0.147126:0.000000
3:@0.200345:0.158135:0.205582:0.158135:0.205582:0.148555:0.200345:0.148555:0.000000
ℝ:@0.376448:0.164782:0.389738:0.164782:0.389738:0.147128:0.376448:0.147128:0.000000
ℝ:@0.408439:0.164782:0.421729:0.164782:0.421729:0.147128:0.408439:0.147128:0.000000
ℝ:@0.440431:0.164782:0.453721:0.164782:0.453721:0.147128:0.440431:0.147128:0.000000
ℝ:@0.073096:0.195722:0.086386:0.195722:0.086386:0.178068:0.073096:0.178068:0.000000
3:@0.086105:0.189073:0.091342:0.189073:0.091342:0.179492:0.086105:0.179492:0.000000
 = {( ,  ,  ) |  ,  ,      }. Los elementos de   son ternas ordenadas. Si ( ,  ,  )    ,       :@0.091187:0.195137:0.710342:0.195137:0.710342:0.178703:0.091187:0.178703:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y z x y z:@0.119240:0.195137:0.206638:0.195137:0.206638:0.178731:0.119240:0.178731:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∈:@0.210448:0.194721:0.223572:0.194721:0.223572:0.177732:0.210448:0.177732:0.000000
ℝ:@0.227364:0.195719:0.240654:0.195719:0.240654:0.178065:0.227364:0.178065:0.000000
ℝ:@0.381875:0.195719:0.395165:0.195719:0.395165:0.178065:0.381875:0.178065:0.000000
3:@0.394930:0.189073:0.400167:0.189073:0.400167:0.179492:0.394930:0.179492:0.000000
x y z:@0.583866:0.195137:0.619502:0.195137:0.619502:0.178731:0.583866:0.178731:0.000000:0.000000:0.000000:0.000000:0.000000
∈:@0.627914:0.194721:0.641038:0.194721:0.641038:0.177732:0.627914:0.177732:0.000000
ℝ:@0.644830:0.195719:0.658120:0.195719:0.658120:0.178065:0.644830:0.178065:0.000000
x:@0.664839:0.195137:0.672294:0.195137:0.672294:0.178731:0.664839:0.178731:0.000000
∈:@0.676104:0.194721:0.689229:0.194721:0.689229:0.177732:0.676104:0.177732:0.000000
ℝ:@0.693021:0.195719:0.706311:0.195719:0.706311:0.178065:0.693021:0.178065:0.000000
se denomina primera componente o abscisa;       se denomina segunda componente :@0.073064:0.211779:0.710518:0.211779:0.710518:0.195345:0.073064:0.195345:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.402352:0.211779:0.409825:0.211779:0.409825:0.195373:0.402352:0.195373:0.000000
∈:@0.413322:0.211363:0.426447:0.211363:0.426447:0.194374:0.413322:0.194374:0.000000
ℝ:@0.429558:0.212361:0.442848:0.212361:0.442848:0.194707:0.429558:0.194707:0.000000
u ordenada;   se llama tercera componente.:@0.073064:0.228421:0.390137:0.228421:0.390137:0.211987:0.073064:0.211987:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
z:@0.163683:0.228421:0.170917:0.228421:0.170917:0.212014:0.163683:0.212014:0.000000
Un sistema de tres ecuaciones lineales con tres incógnitas ( ,  ,  )   :@0.073046:0.259360:0.569894:0.259360:0.569894:0.242927:0.073046:0.242927:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y z:@0.506353:0.259360:0.543572:0.259360:0.543572:0.242954:0.506353:0.242954:0.000000:0.000000:0.000000:0.000000:0.000000
∈:@0.552776:0.258944:0.565900:0.258944:0.565900:0.241956:0.552776:0.241956:0.000000
ℝ:@0.570263:0.259943:0.583553:0.259943:0.583553:0.242289:0.570263:0.242289:0.000000
3:@0.583561:0.253293:0.588798:0.253293:0.588798:0.243712:0.583561:0.243712:0.000000
 se define por el :@0.588777:0.259357:0.710375:0.259357:0.710375:0.242923:0.588777:0.242923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
siguiente conjunto de ecuaciones: :@0.073098:0.275999:0.326231:0.275999:0.326231:0.259565:0.073098:0.259565:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a x:@0.144242:0.306938:0.166079:0.306936:0.166079:0.290530:0.144242:0.290532:0.000000:0.000000:0.000000
1:@0.153435:0.310108:0.158672:0.310108:0.158672:0.300527:0.153435:0.300527:0.000000
 + :@0.166006:0.306936:0.184892:0.306936:0.184892:0.290502:0.166006:0.290502:0.000000:0.000000:0.000000
b y:@0.184800:0.306936:0.206661:0.306936:0.206661:0.290530:0.184800:0.290530:0.000000:0.000000:0.000000
1:@0.193997:0.310108:0.199233:0.310108:0.199233:0.300527:0.193997:0.300527:0.000000
 + :@0.206587:0.306936:0.225473:0.306936:0.225473:0.290502:0.206587:0.290502:0.000000:0.000000:0.000000
c z:@0.225381:0.306936:0.245400:0.306936:0.245400:0.290530:0.225381:0.290530:0.000000:0.000000:0.000000
1:@0.232975:0.310108:0.238212:0.310108:0.238212:0.300527:0.232975:0.300527:0.000000
 = :@0.245326:0.306936:0.264212:0.306936:0.264212:0.290502:0.245326:0.290502:0.000000:0.000000:0.000000
d:@0.264120:0.306936:0.273379:0.306936:0.273379:0.290530:0.264120:0.290530:0.000000
1:@0.273317:0.310108:0.278554:0.310108:0.278554:0.300527:0.273317:0.300527:0.000000
a x:@0.144243:0.323578:0.166079:0.323578:0.166079:0.307172:0.144243:0.307172:0.000000:0.000000:0.000000
2:@0.153435:0.326750:0.158672:0.326750:0.158672:0.317169:0.153435:0.317169:0.000000
 + :@0.166006:0.323578:0.184892:0.323578:0.184892:0.307144:0.166006:0.307144:0.000000:0.000000:0.000000
b y:@0.184800:0.323578:0.206661:0.323578:0.206661:0.307172:0.184800:0.307172:0.000000:0.000000:0.000000
2:@0.193997:0.326750:0.199233:0.326750:0.199233:0.317169:0.193997:0.317169:0.000000
 + :@0.206587:0.323578:0.225473:0.323578:0.225473:0.307144:0.206587:0.307144:0.000000:0.000000:0.000000
c z:@0.225381:0.323578:0.245400:0.323578:0.245400:0.307172:0.225381:0.307172:0.000000:0.000000:0.000000
2:@0.232975:0.326750:0.238212:0.326750:0.238212:0.317169:0.232975:0.317169:0.000000
 = :@0.245326:0.323578:0.264212:0.323578:0.264212:0.307144:0.245326:0.307144:0.000000:0.000000:0.000000
d:@0.264120:0.323578:0.273379:0.323578:0.273379:0.307172:0.264120:0.307172:0.000000
2:@0.273317:0.326750:0.278554:0.326750:0.278554:0.317169:0.273317:0.317169:0.000000
a x:@0.144243:0.340220:0.166079:0.340220:0.166079:0.323814:0.144243:0.323814:0.000000:0.000000:0.000000
3:@0.153435:0.343392:0.158672:0.343392:0.158672:0.333811:0.153435:0.333811:0.000000
 + :@0.166006:0.340220:0.184892:0.340220:0.184892:0.323786:0.166006:0.323786:0.000000:0.000000:0.000000
b y:@0.184800:0.340220:0.206661:0.340220:0.206661:0.323814:0.184800:0.323814:0.000000:0.000000:0.000000
3:@0.193997:0.343392:0.199233:0.343392:0.199233:0.333811:0.193997:0.333811:0.000000
 + :@0.206587:0.340220:0.225473:0.340220:0.225473:0.323786:0.206587:0.323786:0.000000:0.000000:0.000000
c z:@0.225381:0.340220:0.245400:0.340220:0.245400:0.323814:0.225381:0.323814:0.000000:0.000000:0.000000
3:@0.232975:0.343392:0.238212:0.343392:0.238212:0.333811:0.232975:0.333811:0.000000
 =   ,:@0.245326:0.340220:0.285666:0.340220:0.285666:0.323786:0.245326:0.323786:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d:@0.264120:0.340220:0.273379:0.340220:0.273379:0.323814:0.264120:0.323814:0.000000
3:@0.273317:0.343392:0.278554:0.343392:0.278554:0.333811:0.273317:0.333811:0.000000
donde  ,  ,       para   = 1, 2, 3 se denominan coeficientes de  ,  ,   respectivamente, :@0.073099:0.371160:0.710448:0.371156:0.710448:0.354722:0.073099:0.354726:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b c:@0.125413:0.371160:0.170275:0.371156:0.170275:0.354750:0.125413:0.354753:0.000000:0.000000:0.000000:0.000000:0.000000
i:@0.134595:0.374328:0.136838:0.374328:0.136838:0.364747:0.134595:0.364747:0.000000
i:@0.153206:0.374328:0.155449:0.374328:0.155449:0.364747:0.153206:0.364747:0.000000
i:@0.170216:0.374328:0.172459:0.374328:0.172459:0.364747:0.170216:0.364747:0.000000
∈:@0.176516:0.370740:0.189641:0.370740:0.189641:0.353751:0.176516:0.353751:0.000000
ℝ:@0.193654:0.371738:0.206944:0.371738:0.206944:0.354084:0.193654:0.354084:0.000000
i:@0.247035:0.371156:0.250826:0.371156:0.250826:0.354750:0.247035:0.354750:0.000000
x y z,:@0.537648:0.371156:0.577374:0.371156:0.577374:0.354750:0.537648:0.354750:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y       para   = 1, 2, 3 son llamados términos independientes.:@0.073089:0.387798:0.524222:0.387798:0.524222:0.371364:0.073089:0.371364:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d:@0.085054:0.387798:0.094313:0.387798:0.094313:0.371392:0.085054:0.371392:0.000000
i:@0.094253:0.390970:0.096495:0.390970:0.096495:0.381389:0.094253:0.381389:0.000000
∈:@0.100406:0.387382:0.113530:0.387382:0.113530:0.370393:0.100406:0.370393:0.000000
ℝ:@0.117396:0.388380:0.130686:0.388380:0.130686:0.370726:0.117396:0.370726:0.000000
i:@0.170482:0.387798:0.174274:0.387798:0.174274:0.371392:0.170482:0.371392:0.000000
Denotamos con   al conjunto solución. Es claro que      . Si existe  al menos una terna :@0.073108:0.418738:0.710511:0.418735:0.710511:0.402301:0.073108:0.402304:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.193731:0.418738:0.201793:0.418738:0.201793:0.402331:0.193731:0.402331:0.000000
S:@0.449021:0.418738:0.457083:0.418738:0.457083:0.402331:0.449021:0.402331:0.000000
⊂:@0.460673:0.418321:0.473797:0.418321:0.473797:0.401333:0.460673:0.401333:0.000000
ℝ:@0.477368:0.419320:0.490658:0.419320:0.490658:0.401666:0.477368:0.401666:0.000000
3:@0.490596:0.412671:0.495833:0.412671:0.495833:0.403090:0.490596:0.403090:0.000000
(  :@0.073099:0.435377:0.099422:0.435377:0.099422:0.418943:0.073099:0.418943:0.000000:0.000000:0.000000
ˆx, ŷ, ˆz:@0.077904:0.435377:0.126959:0.435377:0.126959:0.418971:0.077904:0.418971:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
)     para la solución del :@0.126922:0.435377:0.317911:0.435377:0.317911:0.418943:0.126922:0.418943:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∈:@0.135482:0.434961:0.148606:0.434961:0.148606:0.417972:0.135482:0.417972:0.000000
ℝ:@0.152269:0.435959:0.165559:0.435959:0.165559:0.418305:0.152269:0.418305:0.000000
3:@0.165462:0.429313:0.170699:0.429313:0.170699:0.419732:0.165462:0.419732:0.000000
sistema de ecuaciones:@0.317561:0.435377:0.487307:0.435377:0.487307:0.418707:0.317561:0.418707:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 lineales, escribiremos (  :@0.487147:0.435377:0.673962:0.435377:0.673962:0.418943:0.487147:0.418943:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ˆx, ŷ, ˆz  :@0.652444:0.435377:0.709654:0.435377:0.709654:0.418971:0.652444:0.418971:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
):@0.701463:0.435377:0.706341:0.435377:0.706341:0.418943:0.701463:0.418943:0.000000
∈:@0.073094:0.451603:0.086219:0.451603:0.086219:0.434614:0.073094:0.434614:0.000000
  . En el caso contrario, escribiremos   = Ø y diremos que el sistema de ecuaciones no :@0.086127:0.452019:0.710545:0.452019:0.710545:0.435585:0.086127:0.435585:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.090213:0.452019:0.098275:0.452019:0.098275:0.435613:0.090213:0.435613:0.000000
S:@0.350676:0.452019:0.358738:0.452019:0.358738:0.435613:0.350676:0.435613:0.000000
tiene solución.:@0.073076:0.468661:0.178586:0.468661:0.178586:0.452227:0.073076:0.452227:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Encontramos tres clases o grupos de sistemas de ecuaciones lineales.:@0.073076:0.499600:0.574075:0.499600:0.574075:0.483167:0.073076:0.483167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La :@0.073076:0.530540:0.093821:0.530540:0.093821:0.514107:0.073076:0.514107:0.000000:0.000000:0.000000
primera clase:@0.094576:0.530540:0.198024:0.530540:0.198024:0.513871:0.094576:0.513871:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 está constituida por sistemas de ecuaciones lineales que posee una :@0.198098:0.530540:0.710302:0.530540:0.710302:0.514107:0.198098:0.514107:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
única solución:@0.073076:0.547182:0.184532:0.547182:0.184532:0.530513:0.073076:0.530513:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 (  :@0.184495:0.547182:0.215824:0.547182:0.215824:0.530748:0.184495:0.530748:0.000000:0.000000:0.000000:0.000000
ˆx, ŷ, ˆz:@0.194030:0.547182:0.245210:0.547182:0.245210:0.530776:0.194030:0.530776:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
)   :@0.245257:0.547182:0.271985:0.547182:0.271985:0.530748:0.245257:0.530748:0.000000:0.000000:0.000000:0.000000
∈:@0.254792:0.546766:0.267917:0.546766:0.267917:0.529778:0.254792:0.529778:0.000000
ℝ:@0.272574:0.547765:0.285864:0.547765:0.285864:0.530110:0.272574:0.530110:0.000000
3:@0.285914:0.541112:0.291151:0.541112:0.291151:0.531531:0.285914:0.531531:0.000000
, en este caso S = {(  :@0.291170:0.547176:0.455970:0.547176:0.455970:0.530742:0.291170:0.530742:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ˆx, ŷ, ˆz:@0.434176:0.547176:0.485356:0.547176:0.485356:0.530770:0.434176:0.530770:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
)}. Los sistemas de ecuaciones :@0.485403:0.547176:0.710476:0.547176:0.710476:0.530742:0.485403:0.530742:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lineales de este grupo se conocen con el nombre de :@0.073081:0.563818:0.457699:0.563818:0.457699:0.547384:0.073081:0.547384:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sistemas consistentes:@0.457277:0.563818:0.620469:0.563818:0.620469:0.547148:0.457277:0.547148:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.620329:0.563818:0.623531:0.563818:0.623531:0.547384:0.620329:0.547384:0.000000
El :@0.073081:0.594758:0.090008:0.594758:0.090008:0.578324:0.073081:0.578324:0.000000:0.000000:0.000000
segundo grupo:@0.091801:0.594758:0.214434:0.594758:0.214434:0.578088:0.091801:0.578088:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 de sistemas de ecuaciones lineales es el que consiste en todos :@0.214706:0.594758:0.710694:0.594758:0.710694:0.578324:0.214706:0.578324:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aquellos  que  poseen :@0.073099:0.611400:0.248206:0.611400:0.248206:0.594966:0.073099:0.594966:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una  infinidad  de  soluciones:@0.252110:0.611400:0.487336:0.611400:0.487336:0.594730:0.252110:0.594730:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y se denominan :@0.487833:0.611400:0.632717:0.611400:0.632717:0.594966:0.487833:0.594966:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sistemas:@0.636674:0.611400:0.706357:0.611400:0.706357:0.594730:0.636674:0.594730:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.706346:0.611400:0.710377:0.611400:0.710377:0.594966:0.706346:0.594966:0.000000
sobredeterminados:@0.073099:0.628041:0.222255:0.628041:0.222255:0.611372:0.073099:0.611372:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.222125:0.628041:0.225327:0.628041:0.225327:0.611608:0.222125:0.611608:0.000000
La :@0.073099:0.658981:0.093771:0.658981:0.093771:0.642548:0.073099:0.642548:0.000000:0.000000:0.000000
tercera clase:@0.094305:0.658981:0.190087:0.658981:0.190087:0.642312:0.094305:0.642312:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 de sistemas de ecuaciones lineales está formada por aquellos que :@0.190105:0.658981:0.685358:0.658981:0.685358:0.642548:0.190105:0.642548:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
no :@0.686024:0.658981:0.710266:0.658981:0.710266:0.642312:0.686024:0.642312:0.000000:0.000000:0.000000
tienen solución:@0.073118:0.675623:0.190022:0.675623:0.190022:0.658954:0.073118:0.658954:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Estos sistemas se denominan :@0.189875:0.675623:0.412553:0.675623:0.412553:0.659189:0.189875:0.659189:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
inconsistentes:@0.412271:0.675623:0.521005:0.675623:0.521005:0.658954:0.412271:0.658954:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.520893:0.675623:0.524096:0.675623:0.524096:0.659189:0.520893:0.659189:0.000000
7.4 Método de resolución por sustitución:@0.073118:0.713705:0.394742:0.713705:0.394742:0.696758:0.073118:0.696758:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Explicaremos este método en los siguientes ejemplos.:@0.073118:0.741067:0.464290:0.741067:0.464290:0.724633:0.073118:0.724633:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejercicio 2:@0.073118:0.772007:0.150263:0.772007:0.150263:0.755338:0.073118:0.755338:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Consideremos el sistema de ecuaciones lineales definido por ( ,  ,  )    , y :@0.073118:0.792227:0.621502:0.792217:0.621502:0.775783:0.073118:0.775793:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y z:@0.522089:0.792227:0.558241:0.792227:0.558241:0.775821:0.522089:0.775821:0.000000:0.000000:0.000000:0.000000:0.000000
∈:@0.566911:0.791811:0.580035:0.791811:0.580035:0.774822:0.566911:0.774822:0.000000
ℝ:@0.583901:0.792809:0.597191:0.792809:0.597191:0.775155:0.583901:0.775155:0.000000
3:@0.597095:0.786153:0.602332:0.786153:0.602332:0.776572:0.597095:0.776572:0.000000
 2 +   –   = 5:@0.144238:0.819579:0.241944:0.819579:0.241944:0.803145:0.144238:0.803145:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x  y z:@0.157087:0.819579:0.214223:0.819579:0.214223:0.803173:0.157087:0.803173:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   + 2  + 2  = 3:@0.144220:0.836221:0.256541:0.836221:0.256541:0.819787:0.144220:0.819787:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.152117:0.836221:0.162811:0.836221:0.162811:0.819815:0.152117:0.819815:0.000000:0.000000
y:@0.186501:0.836221:0.193975:0.836221:0.193975:0.819815:0.186501:0.819815:0.000000
z:@0.221586:0.836221:0.228820:0.836221:0.228820:0.819815:0.221586:0.819815:0.000000
– +   +   = 0.:@0.144202:0.852862:0.243085:0.852862:0.243085:0.836429:0.144202:0.836429:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x  y:@0.153332:0.852862:0.186281:0.852862:0.186281:0.836456:0.153332:0.836456:0.000000:0.000000:0.000000:0.000000
z:@0.205001:0.852862:0.212235:0.852862:0.212235:0.836456:0.205001:0.836456:0.000000
Interdisciplinariedad :@0.740294:0.420273:0.906668:0.420273:0.906668:0.403326:0.740294:0.403326:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática e :@0.740294:0.436915:0.843323:0.436915:0.843323:0.420481:0.740294:0.420481:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
historia:@0.740294:0.453557:0.793476:0.453557:0.793476:0.437123:0.740294:0.437123:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Gabriel Cramer.:@0.752448:0.815432:0.843636:0.815432:0.843636:0.801986:0.752448:0.801986:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Gabriel Cramer fue un :@0.740294:0.484884:0.889295:0.484884:0.889295:0.469944:0.740294:0.469944:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemático suizo, profesor :@0.740294:0.500013:0.922378:0.500013:0.922378:0.485073:0.740294:0.485073:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de matemáticas de la :@0.740294:0.515142:0.885012:0.515142:0.885012:0.500202:0.740294:0.500202:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Universidad de Ginebra, :@0.740294:0.530271:0.901720:0.530271:0.901720:0.515331:0.740294:0.515331:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
durante el periodo 1724-:@0.740294:0.545400:0.904540:0.545400:0.904540:0.530460:0.740294:0.530460:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1727. En uno de sus :@0.740294:0.560528:0.875102:0.560528:0.875102:0.545589:0.740294:0.545589:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tratados publicó la regla de :@0.740294:0.575657:0.923774:0.575657:0.923774:0.560718:0.740294:0.560718:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cramer, que es un teorema :@0.740294:0.590786:0.922522:0.590786:0.922522:0.575847:0.740294:0.575847:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que se aplica en álgebra :@0.740294:0.605915:0.903666:0.605915:0.903666:0.590975:0.740294:0.590975:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lineal. Es de utilidad :@0.740294:0.621044:0.873204:0.621044:0.873204:0.606104:0.740294:0.606104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuando se busca resolver :@0.740294:0.636173:0.910163:0.636173:0.910163:0.621233:0.740294:0.621233:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sistemas de ecuaciones :@0.740294:0.651302:0.899058:0.651302:0.899058:0.636362:0.740294:0.636362:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lineales.:@0.740294:0.666431:0.792112:0.666431:0.792112:0.651491:0.740294:0.651491:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Indaga :@0.741398:0.834652:0.792918:0.834652:0.792918:0.819498:0.741398:0.819498:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sobre Gabriel :@0.792821:0.834652:0.884203:0.834652:0.884203:0.819712:0.792821:0.819712:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cramer y :@0.741398:0.849781:0.804384:0.849781:0.804384:0.834841:0.741398:0.834841:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
elabora :@0.804267:0.849781:0.859902:0.849781:0.859902:0.834627:0.804267:0.834627:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una ficha :@0.859807:0.849781:0.923965:0.849781:0.923965:0.834841:0.859807:0.834841:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bibliográfica.:@0.741398:0.864910:0.825797:0.864910:0.825797:0.849970:0.741398:0.849970:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ:@0.742665:0.189944:0.754747:0.189944:0.754747:0.173895:0.742665:0.173895:0.000000
2:@0.754663:0.183902:0.759424:0.183902:0.759424:0.175192:0.754663:0.175192:0.000000
 =   × :@0.759380:0.189414:0.805633:0.189414:0.805633:0.174475:0.759380:0.174475:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ:@0.776466:0.189944:0.788548:0.189944:0.788548:0.173895:0.776466:0.173895:0.000000
ℝ:@0.805549:0.189944:0.817631:0.189944:0.817631:0.173895:0.805549:0.173895:0.000000
= {(:@0.742663:0.204543:0.764969:0.204543:0.764969:0.189603:0.742663:0.189603:0.000000:0.000000:0.000000:0.000000
x, y x y:@0.764869:0.204543:0.819187:0.204543:0.819187:0.189629:0.764869:0.189629:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
) |  ,      }.:@0.784247:0.204543:0.857441:0.204543:0.857441:0.189603:0.784247:0.189603:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∈:@0.822718:0.204165:0.834649:0.204165:0.834649:0.188721:0.822718:0.188721:0.000000
ℝ:@0.838163:0.205073:0.850245:0.205073:0.850245:0.189024:0.838163:0.189024:0.000000
Los métodos analíticos de :@0.742647:0.219672:0.917778:0.219672:0.917778:0.204732:0.742647:0.204732:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resolución de sistemas de :@0.742647:0.234801:0.916111:0.234801:0.916111:0.219861:0.742647:0.219861:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dos ecuaciones lineales :@0.742647:0.249930:0.901300:0.249930:0.901300:0.234990:0.742647:0.234990:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con dos incógnitas que :@0.742647:0.265059:0.900823:0.265059:0.900823:0.250119:0.742647:0.250119:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vamos a emplear son::@0.742647:0.280188:0.886257:0.280188:0.886257:0.265248:0.742647:0.265248:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a.  Sustitución:@0.742665:0.295317:0.846565:0.295317:0.846565:0.280377:0.742665:0.280377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b.  Eliminación gaussiana:@0.742665:0.310446:0.918230:0.310446:0.918230:0.295506:0.742665:0.295506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Responde:@0.742665:0.332723:0.814534:0.332723:0.814534:0.317317:0.742665:0.317317:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
: ¿qué es un :@0.814453:0.332723:0.895947:0.332723:0.895947:0.317783:0.814453:0.317783:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sistema de ecuaciones :@0.742665:0.347852:0.895254:0.347852:0.895254:0.332912:0.742665:0.332912:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lineales?:@0.742665:0.362981:0.798138:0.362981:0.798138:0.348041:0.742665:0.348041:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.740294:0.146688:0.848854:0.146688:0.848854:0.129741:0.740294:0.129741:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.740294:0.163330:0.837769:0.163330:0.837769:0.146383:0.740294:0.146383:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000