﻿:@0.904366:0.963104:0.932133:0.963104:0.932133:0.941283:0.904366:0.941283:0.000000:0.000000
Matemática:@0.795130:0.956142:0.879896:0.956142:0.879896:0.943479:0.795130:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.º BG:@0.837761:0.967458:0.879897:0.967458:0.879897:0.954794:0.837761:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cción y expresión:@0.117728:0.300255:0.242599:0.300255:0.242599:0.284891:0.117728:0.284891:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.096132:0.301041:0.108221:0.301041:0.108221:0.283905:0.096132:0.283905:0.000000
Paso 1.:@0.102309:0.395328:0.154560:0.395328:0.154560:0.379750:0.102309:0.379750:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Despejamos la variable :@0.157944:0.395328:0.315128:0.395328:0.315128:0.380429:0.157944:0.380429:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
z:@0.315128:0.395328:0.321712:0.395328:0.321712:0.380454:0.315128:0.380454:0.000000
de la ecuación (1).:@0.102309:0.410416:0.222641:0.410416:0.222641:0.395517:0.102309:0.395517:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
z:@0.102309:0.432632:0.108893:0.432632:0.108893:0.417758:0.102309:0.417758:0.000000
 = 640 –   – :@0.108893:0.432632:0.188952:0.432632:0.188952:0.417733:0.108893:0.417733:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.166454:0.432632:0.195754:0.432632:0.195754:0.417758:0.166454:0.417758:0.000000:0.000000:0.000000
Paso 2.:@0.413099:0.395328:0.465350:0.395328:0.465350:0.379750:0.413099:0.379750:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sustituimos la expresión obtenida :@0.468734:0.395328:0.698255:0.395328:0.698255:0.380429:0.468734:0.380429:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en la ecuación (2) y resolvemos.:@0.413099:0.410416:0.623875:0.410416:0.623875:0.395517:0.413099:0.395517:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.413099:0.432632:0.419884:0.432632:0.419884:0.417758:0.413099:0.417758:0.000000
 + 8  + 7(640 –   –  ) = 4500:@0.419884:0.432632:0.606120:0.432632:0.606120:0.417733:0.419884:0.417733:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.445381:0.432632:0.452183:0.432632:0.452183:0.417758:0.445381:0.417758:0.000000
x y:@0.522359:0.432632:0.551658:0.432632:0.551658:0.417758:0.522359:0.417758:0.000000:0.000000:0.000000
5  + 8  + 4480 – 7  – 7 = 4500:@0.413099:0.447720:0.621114:0.447720:0.621114:0.432821:0.413099:0.432821:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.421275:0.447720:0.428059:0.447720:0.428059:0.432846:0.421275:0.432846:0.000000
y:@0.453556:0.447720:0.460358:0.447720:0.460358:0.432846:0.453556:0.432846:0.000000
x:@0.534269:0.447720:0.541054:0.447720:0.541054:0.432846:0.534269:0.432846:0.000000
y :@0.564943:0.447720:0.574760:0.447720:0.574760:0.432846:0.564943:0.432846:0.000000:0.000000
–2  +   = 20:@0.413099:0.462807:0.494231:0.462807:0.494231:0.447908:0.413099:0.447908:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.429651:0.462807:0.436435:0.462807:0.436435:0.447934:0.429651:0.447934:0.000000
y:@0.453757:0.462807:0.460559:0.462807:0.460559:0.447934:0.453757:0.447934:0.000000
Paso 3.:@0.102309:0.485275:0.154560:0.485275:0.154560:0.469697:0.102309:0.469697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Resolvemos el nuevo sistema :@0.154560:0.485275:0.357378:0.485275:0.357378:0.470376:0.154560:0.470376:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
formado por las ecuaciones.:@0.102309:0.500363:0.289346:0.500363:0.289346:0.485464:0.102309:0.485464:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.114512:0.522575:0.121229:0.522575:0.121229:0.507849:0.114512:0.507849:0.000000
y z:@0.137880:0.522575:0.167252:0.522575:0.167252:0.507849:0.137880:0.507849:0.000000:0.000000:0.000000
x:@0.132374:0.541245:0.139091:0.541245:0.139091:0.526520:0.132374:0.526520:0.000000
y:@0.155742:0.541245:0.162475:0.541245:0.162475:0.526520:0.155742:0.526520:0.000000
y:@0.189194:0.560912:0.195927:0.560912:0.195927:0.546187:0.189194:0.546187:0.000000
y:@0.106087:0.579583:0.112820:0.579583:0.112820:0.564858:0.106087:0.564858:0.000000
x:@0.137615:0.579583:0.144332:0.579583:0.144332:0.564858:0.137615:0.564858:0.000000
++ =:@0.124925:0.522201:0.180534:0.522201:0.180534:0.506953:0.124925:0.506953:0.000000:0.000000:0.000000:0.000000
−:@0.114512:0.540872:0.123617:0.540872:0.123617:0.525624:0.114512:0.525624:0.000000
+ =:@0.142789:0.540872:0.175826:0.540872:0.175826:0.525624:0.142789:0.525624:0.000000:0.000000:0.000000
:@0.105092:0.523334:0.113285:0.523334:0.113285:0.508086:0.105092:0.508086:0.000000
:@0.105092:0.533665:0.113285:0.533665:0.113285:0.518417:0.105092:0.518417:0.000000
:@0.105092:0.544021:0.113285:0.544021:0.113285:0.528773:0.105092:0.528773:0.000000
=:@0.117066:0.579210:0.126171:0.579210:0.126171:0.563962:0.117066:0.563962:0.000000
+:@0.148030:0.579210:0.157135:0.579210:0.157135:0.563962:0.148030:0.563962:0.000000
640:@0.183406:0.522575:0.207520:0.522575:0.207520:0.507824:0.183406:0.507824:0.000000:0.000000:0.000000
2:@0.123558:0.541245:0.131652:0.541245:0.131652:0.526495:0.123558:0.526495:0.000000
20   :@0.178454:0.541245:0.206145:0.541245:0.206145:0.526495:0.178454:0.526495:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.128793:0.579583:0.136886:0.579583:0.136886:0.564833:0.128793:0.564833:0.000000
20:@0.159458:0.579583:0.175562:0.579583:0.175562:0.564833:0.159458:0.564833:0.000000:0.000000
Despejamos :@0.104048:0.560912:0.189178:0.560912:0.189178:0.546162:0.104048:0.546162:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 4.:@0.413098:0.485274:0.465349:0.485274:0.465349:0.469696:0.413098:0.469696:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Reemplazamos el valor de   en la :@0.465349:0.485274:0.693416:0.485274:0.693416:0.470375:0.465349:0.470375:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.647347:0.485274:0.654148:0.485274:0.654148:0.470400:0.647347:0.470400:0.000000
ecuación (1):@0.413098:0.500362:0.494783:0.500362:0.494783:0.485463:0.413098:0.485463:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.413098:0.522578:0.419883:0.522578:0.419883:0.507704:0.413098:0.507704:0.000000
 + (2  + 20) +   = 640:@0.419883:0.522578:0.560469:0.522578:0.560469:0.507679:0.419883:0.507679:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.449819:0.522578:0.456604:0.522578:0.456604:0.507704:0.449819:0.507704:0.000000
z:@0.512038:0.522578:0.518622:0.522578:0.518622:0.507704:0.512038:0.507704:0.000000
3  +   = 620:@0.413098:0.537666:0.493811:0.537666:0.493811:0.522767:0.413098:0.522767:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.421273:0.537666:0.428058:0.537666:0.428058:0.522792:0.421273:0.522792:0.000000
z:@0.445380:0.537666:0.451964:0.537666:0.451964:0.522792:0.445380:0.522792:0.000000
z = 620 – 3:@0.413098:0.552754:0.485586:0.552754:0.485586:0.537855:0.413098:0.537855:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.485586:0.552754:0.492371:0.552754:0.492371:0.537880:0.485586:0.537880:0.000000
Paso 5.:@0.102308:0.602681:0.154558:0.602681:0.154558:0.587103:0.102308:0.587103:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Parametrizamos la solución.:@0.154558:0.602681:0.342988:0.602681:0.342988:0.587782:0.154558:0.587782:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.102308:0.624897:0.109109:0.624897:0.109109:0.610024:0.102308:0.610024:0.000000
 = 2  + 20:@0.109109:0.624897:0.175063:0.624897:0.175063:0.609998:0.109109:0.609998:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.134606:0.624897:0.141391:0.624897:0.141391:0.610024:0.134606:0.610024:0.000000
z:@0.102308:0.639985:0.108891:0.639985:0.108891:0.625111:0.102308:0.625111:0.000000
 = 620 – 3:@0.108891:0.639985:0.174628:0.639985:0.174628:0.625086:0.108891:0.625086:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.174628:0.639985:0.181413:0.639985:0.181413:0.625111:0.174628:0.625111:0.000000
Entonces, llamamos a   como parámetro libre.:@0.102308:0.662202:0.401688:0.662202:0.401688:0.647303:0.102308:0.647303:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.246596:0.662202:0.253381:0.662202:0.253381:0.647328:0.246596:0.647328:0.000000
Paso 6.:@0.413098:0.602681:0.465349:0.602681:0.465349:0.587103:0.413098:0.587103:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Escribimos la solución general.:@0.465349:0.602681:0.672539:0.602681:0.672539:0.587782:0.465349:0.587782:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.422761:0.625764:0.429478:0.625764:0.429478:0.611910:0.422761:0.611910:0.000000
x:@0.446743:0.625764:0.453460:0.625764:0.453460:0.611910:0.446743:0.611910:0.000000
y:@0.422758:0.644435:0.429491:0.644435:0.429491:0.630581:0.422758:0.630581:0.000000
x:@0.454285:0.644435:0.461002:0.644435:0.461002:0.630581:0.454285:0.630581:0.000000
z:@0.424731:0.663093:0.431249:0.663093:0.431249:0.649239:0.424731:0.649239:0.000000
x:@0.494039:0.663093:0.500756:0.663093:0.500756:0.649239:0.494039:0.649239:0.000000
x:@0.546481:0.644435:0.553198:0.644435:0.553198:0.630581:0.546481:0.630581:0.000000
=:@0.433739:0.625390:0.442844:0.625390:0.442844:0.610142:0.433739:0.610142:0.000000
=:@0.433735:0.644061:0.442841:0.644061:0.442841:0.628813:0.433735:0.628813:0.000000
+:@0.464696:0.644061:0.473801:0.644061:0.473801:0.628813:0.464696:0.628813:0.000000
=:@0.435427:0.662720:0.444532:0.662720:0.444532:0.647472:0.435427:0.647472:0.000000
−:@0.474067:0.662720:0.483172:0.662720:0.483172:0.647472:0.474067:0.647472:0.000000
:@0.413098:0.626531:0.421291:0.626531:0.421291:0.611283:0.413098:0.611283:0.000000
:@0.413098:0.646185:0.421291:0.646185:0.421291:0.630937:0.413098:0.630937:0.000000
:@0.413098:0.636887:0.421291:0.636887:0.421291:0.621639:0.413098:0.621639:0.000000
:@0.413098:0.665889:0.421291:0.665889:0.421291:0.650641:0.413098:0.650641:0.000000
:@0.413098:0.658035:0.421291:0.658035:0.421291:0.642787:0.413098:0.642787:0.000000
∈:@0.555624:0.644061:0.567449:0.644061:0.567449:0.628813:0.555624:0.628813:0.000000
    :@0.455318:0.625764:0.469846:0.625764:0.469846:0.611661:0.455318:0.611661:0.000000:0.000000:0.000000:0.000000
      para :@0.492960:0.644435:0.546496:0.644435:0.546496:0.630332:0.492960:0.630332:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.445478:0.644435:0.453571:0.644435:0.453571:0.630332:0.445478:0.630332:0.000000
20:@0.476143:0.644435:0.492247:0.644435:0.492247:0.630332:0.476143:0.630332:0.000000:0.000000
620 3:@0.447402:0.663093:0.493325:0.663093:0.493325:0.648990:0.447402:0.648990:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.568902:0.645219:0.580876:0.645219:0.580876:0.630145:0.568902:0.630145:0.000000
Sea el sistema de ecuaciones:@0.102309:0.828486:0.295345:0.828486:0.295345:0.813587:0.102309:0.813587:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.114700:0.851393:0.121417:0.851393:0.121417:0.836668:0.114700:0.836668:0.000000
y z:@0.138069:0.851393:0.167440:0.851393:0.167440:0.836668:0.138069:0.836668:0.000000:0.000000:0.000000
x:@0.122048:0.870064:0.128764:0.870064:0.128764:0.855338:0.122048:0.855338:0.000000
y:@0.152962:0.870064:0.159695:0.870064:0.159695:0.855338:0.152962:0.855338:0.000000
z:@0.183345:0.870064:0.189863:0.870064:0.189863:0.855338:0.183345:0.855338:0.000000
++ =:@0.125116:0.851019:0.180725:0.851019:0.180725:0.835771:0.125116:0.835771:0.000000:0.000000:0.000000:0.000000
+:@0.132463:0.869690:0.141568:0.869690:0.141568:0.854442:0.132463:0.854442:0.000000
+:@0.163377:0.869690:0.172482:0.869690:0.172482:0.854442:0.163377:0.854442:0.000000
=:@0.194043:0.869690:0.203148:0.869690:0.203148:0.854442:0.194043:0.854442:0.000000
:@0.105081:0.852152:0.113274:0.852152:0.113274:0.836904:0.105081:0.836904:0.000000
:@0.105081:0.862483:0.113274:0.862483:0.113274:0.847235:0.105081:0.847235:0.000000
:@0.105081:0.872839:0.113274:0.872839:0.113274:0.857591:0.105081:0.857591:0.000000
2          ():@0.183349:0.851393:0.242019:0.851393:0.242019:0.836643:0.183349:0.836643:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.231876:0.851393:0.239970:0.851393:0.239970:0.836643:0.231876:0.836643:0.000000
2:@0.113240:0.870064:0.121333:0.870064:0.121333:0.855314:0.113240:0.855314:0.000000
2:@0.143905:0.870064:0.151999:0.870064:0.151999:0.855314:0.143905:0.855314:0.000000
2:@0.174819:0.870064:0.182913:0.870064:0.182913:0.855314:0.174819:0.855314:0.000000
5 2():@0.205783:0.870064:0.242168:0.870064:0.242168:0.855314:0.205783:0.855314:0.000000:0.000000:0.000000:0.000000:0.000000
   :@0.213844:0.870064:0.224740:0.870064:0.224740:0.855314:0.213844:0.855314:0.000000:0.000000:0.000000
Paso 1.:@0.316936:0.828486:0.369187:0.828486:0.369187:0.812908:0.316936:0.812908:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Multiplicamos la ecuación (1) por (– 2). :@0.372571:0.828486:0.633355:0.828486:0.633355:0.813587:0.372571:0.813587:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sumamos y restamos.:@0.316936:0.843574:0.462044:0.843574:0.462044:0.828675:0.316936:0.828675:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
− :@0.325605:0.868795:0.325126:0.869940:0.325126:0.854692:0.325605:0.853547:0.000000:0.000000:0.000000
−:@0.353883:0.868795:0.334711:0.868795:0.334711:0.853547:0.353883:0.853547:0.000000
−:@0.384498:0.868795:0.363220:0.868795:0.363220:0.853547:0.384498:0.853547:0.000000
=:@0.414882:0.868795:0.393603:0.868795:0.393603:0.853547:0.414882:0.853547:0.000000
−:@0.427138:0.868795:0.436243:0.868795:0.436243:0.853547:0.427138:0.853547:0.000000
+:@0.353967:0.887478:0.332158:0.887478:0.332158:0.872231:0.353967:0.872231:0.000000
+:@0.384881:0.887478:0.363072:0.887478:0.363072:0.872231:0.384881:0.872231:0.000000
=:@0.415547:0.887478:0.424652:0.887478:0.424652:0.872231:0.415547:0.872231:0.000000
:@0.316933:0.880272:0.325126:0.880272:0.325126:0.865024:0.316933:0.865024:0.000000
:@0.316933:0.890628:0.325126:0.890628:0.325126:0.875380:0.316933:0.875380:0.000000
=:@0.427520:0.909547:0.436625:0.909547:0.436625:0.894299:0.427520:0.894299:0.000000
2:@0.334662:0.869181:0.342755:0.869181:0.342755:0.855078:0.334662:0.855078:0.000000
2:@0.365045:0.869181:0.373139:0.869181:0.373139:0.855078:0.365045:0.855078:0.000000
2:@0.395678:0.869181:0.403771:0.869181:0.403771:0.855078:0.395678:0.855078:0.000000
4:@0.436194:0.869181:0.444288:0.869181:0.444288:0.855078:0.436194:0.855078:0.000000
2:@0.334761:0.887864:0.342854:0.887864:0.342854:0.873762:0.334761:0.873762:0.000000
2:@0.365426:0.887864:0.373519:0.887864:0.373519:0.873762:0.365426:0.873762:0.000000
2:@0.396340:0.887864:0.404434:0.887864:0.404434:0.873762:0.396340:0.873762:0.000000
5:@0.427304:0.887864:0.435398:0.887864:0.435398:0.873762:0.427304:0.873762:0.000000
0       :@0.346769:0.909933:0.380999:0.909945:0.380999:0.895842:0.346769:0.895830:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0       :@0.381547:0.909933:0.415778:0.909945:0.415778:0.895842:0.381547:0.895830:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0 5:@0.416326:0.909933:0.447356:0.909933:0.447356:0.895830:0.416326:0.895830:0.000000:0.000000:0.000000
x:@0.343468:0.869193:0.350185:0.869193:0.350185:0.855339:0.343468:0.855339:0.000000
y:@0.374101:0.869193:0.380834:0.869193:0.380834:0.855339:0.374101:0.855339:0.000000
z:@0.404202:0.869193:0.410720:0.869193:0.410720:0.855339:0.404202:0.855339:0.000000
x:@0.343567:0.887877:0.350284:0.887877:0.350284:0.874023:0.343567:0.874023:0.000000
y:@0.374482:0.887877:0.381215:0.887877:0.381215:0.874023:0.374482:0.874023:0.000000
z:@0.404865:0.887877:0.411383:0.887877:0.411383:0.874023:0.404865:0.874023:0.000000
        :@0.317181:0.909945:0.346237:0.909945:0.346237:0.895842:0.317181:0.895842:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0 ≠ 5:@0.476702:0.910383:0.510374:0.910383:0.510374:0.895484:0.476702:0.895484:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 2.:@0.645784:0.828482:0.698035:0.828482:0.698035:0.812904:0.645784:0.812904:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Analizamos la expresión :@0.701419:0.828482:0.865339:0.828482:0.865339:0.813583:0.701419:0.813583:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
obtenida.:@0.645784:0.843570:0.709259:0.843570:0.709259:0.828671:0.645784:0.828671:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
No se cumple la igualdad, por lo tanto, :@0.645784:0.865786:0.906429:0.865786:0.906429:0.850887:0.645784:0.850887:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el sistema no tiene soluciones.:@0.645784:0.880874:0.848032:0.880874:0.848032:0.865975:0.645784:0.865975:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0 es diferente de 5:@0.645784:0.903090:0.768360:0.903090:0.768360:0.888191:0.645784:0.888191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplos paso a paso:@0.096356:0.326354:0.251248:0.326354:0.251248:0.310990:0.096356:0.310990:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.096359:0.353957:0.110585:0.353957:0.110585:0.337056:0.096359:0.337056:0.000000:0.000000
  Analizamos el sistema, al tratarse de dos ecuaciones con tres incógnitas pode-:@0.110585:0.353957:0.712471:0.353957:0.712471:0.337568:0.110585:0.337568:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mos deducir que tiene innitas soluciones. :@0.124848:0.370553:0.441356:0.370553:0.441356:0.354164:0.124848:0.354164:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.313230:0.370553:0.317266:0.370553:0.317266:0.354164:0.313230:0.354164:0.000000
Asignamos las variables::@0.096359:0.096837:0.290216:0.096837:0.290216:0.079937:0.096359:0.079937:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Auriculares:@0.290663:0.130297:0.372179:0.130297:0.372179:0.114932:0.290663:0.114932:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Parlantes:@0.407042:0.130297:0.474253:0.130297:0.474253:0.114932:0.407042:0.114932:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Micrófonos:@0.509014:0.130297:0.590715:0.130297:0.590715:0.114932:0.509014:0.114932:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Total:@0.641257:0.130297:0.676907:0.130297:0.676907:0.114932:0.641257:0.114932:0.000000:0.000000:0.000000:0.000000:0.000000
Producto:@0.154617:0.153720:0.218812:0.153720:0.218812:0.138607:0.154617:0.138607:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.328038:0.153720:0.334823:0.153720:0.334823:0.138846:0.328038:0.138846:0.000000
y:@0.437247:0.153720:0.444048:0.153720:0.444048:0.138846:0.437247:0.138846:0.000000
z:@0.546573:0.153720:0.553157:0.153720:0.553157:0.138846:0.546573:0.138846:0.000000
640:@0.646819:0.153720:0.671345:0.153720:0.671345:0.138821:0.646819:0.138821:0.000000:0.000000:0.000000
Costo de producción:@0.114210:0.176892:0.259201:0.176892:0.259201:0.161779:0.114210:0.161779:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
25:@0.319846:0.176892:0.336196:0.176892:0.336196:0.161993:0.319846:0.161993:0.000000:0.000000
x:@0.336196:0.176892:0.342981:0.176892:0.342981:0.162018:0.336196:0.162018:0.000000
40:@0.429055:0.176892:0.445405:0.176892:0.445405:0.161993:0.429055:0.161993:0.000000:0.000000
y:@0.445405:0.176892:0.452207:0.176892:0.452207:0.162018:0.445405:0.162018:0.000000
35:@0.538381:0.176892:0.554731:0.176892:0.554731:0.161993:0.538381:0.161993:0.000000:0.000000
z:@0.554731:0.176892:0.561315:0.176892:0.561315:0.162018:0.554731:0.162018:0.000000
22 500:@0.636801:0.176892:0.681346:0.176892:0.681346:0.161993:0.636801:0.161993:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Planteamos el sistema de ecuaciones utilizando la tabla.:@0.096359:0.204420:0.505340:0.204420:0.505340:0.188031:0.096359:0.188031:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El sistema de ecuaciones es::@0.096359:0.224681:0.301365:0.224681:0.301365:0.208292:0.096359:0.208292:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El sistema equivalente es::@0.374156:0.224681:0.559792:0.224681:0.559792:0.208292:0.374156:0.208292:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.163731:0.246906:0.171194:0.246906:0.171194:0.230545:0.163731:0.230545:0.000000
y z:@0.189695:0.246906:0.222330:0.246906:0.222330:0.230545:0.189695:0.230545:0.000000:0.000000:0.000000
x:@0.126931:0.267652:0.134394:0.267652:0.134394:0.251290:0.126931:0.251290:0.000000
y:@0.171323:0.267652:0.178804:0.267652:0.178804:0.251290:0.171323:0.251290:0.000000
z:@0.213725:0.267652:0.220967:0.267652:0.220967:0.251290:0.213725:0.251290:0.000000
x:@0.402295:0.246906:0.409758:0.246906:0.409758:0.230545:0.402295:0.230545:0.000000
y z:@0.428259:0.246906:0.460895:0.246906:0.460895:0.230545:0.428259:0.230545:0.000000:0.000000:0.000000
x:@0.390464:0.267652:0.397927:0.267652:0.397927:0.251290:0.390464:0.251290:0.000000
++ =:@0.175305:0.246493:0.237092:0.246493:0.237092:0.229550:0.175305:0.229550:0.000000:0.000000:0.000000:0.000000
+:@0.138501:0.267238:0.148618:0.267238:0.148618:0.250296:0.138501:0.250296:0.000000
+:@0.182893:0.267238:0.193010:0.267238:0.193010:0.250296:0.182893:0.250296:0.000000
=:@0.225609:0.267238:0.235725:0.267238:0.235725:0.250296:0.225609:0.250296:0.000000
÷:@0.300572:0.267238:0.310689:0.267238:0.310689:0.250296:0.300572:0.250296:0.000000
:@0.099435:0.247751:0.108538:0.247751:0.108538:0.230809:0.099435:0.230809:0.000000
:@0.099435:0.259230:0.108538:0.259230:0.108538:0.242288:0.099435:0.242288:0.000000
:@0.099435:0.270737:0.108538:0.270737:0.108538:0.253795:0.099435:0.253795:0.000000
→ :@0.339252:0.256865:0.380975:0.259230:0.380975:0.242288:0.339252:0.239923:0.000000:0.000000:0.000000
++ =:@0.413869:0.246493:0.475657:0.246493:0.475657:0.229550:0.413869:0.229550:0.000000:0.000000:0.000000:0.000000
+:@0.402038:0.267238:0.412155:0.267238:0.412155:0.250296:0.402038:0.250296:0.000000
640:@0.240280:0.246908:0.267074:0.246908:0.267074:0.230519:0.240280:0.230519:0.000000:0.000000:0.000000
25:@0.108504:0.267653:0.126398:0.267653:0.126398:0.251264:0.108504:0.251264:0.000000:0.000000
40:@0.151791:0.267653:0.169684:0.267653:0.169684:0.251264:0.151791:0.251264:0.000000:0.000000
35:@0.195612:0.267653:0.213505:0.267653:0.213505:0.251264:0.195612:0.251264:0.000000:0.000000
22 500:@0.238640:0.267653:0.288211:0.267653:0.288211:0.251264:0.238640:0.251264:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.312720:0.267653:0.321712:0.267653:0.321712:0.251264:0.312720:0.251264:0.000000
640 1():@0.478826:0.246908:0.534164:0.246908:0.534164:0.230519:0.478826:0.230519:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.380920:0.267653:0.389913:0.267653:0.389913:0.251264:0.380920:0.251264:0.000000
 :@0.293020:0.267653:0.297056:0.267653:0.297056:0.251264:0.293020:0.251264:0.000000
   :@0.323334:0.257280:0.335441:0.257280:0.335441:0.240891:0.323334:0.240891:0.000000:0.000000:0.000000
  :@0.360926:0.257280:0.368998:0.257280:0.368998:0.240891:0.360926:0.240891:0.000000:0.000000
   :@0.506412:0.246908:0.518519:0.246908:0.518519:0.230519:0.506412:0.230519:0.000000:0.000000:0.000000
8 8:@0.414735:0.267653:0.423728:0.267653:0.423728:0.251264:0.414735:0.251264:0.000000:0.000000:0.000000
7:@0.449342:0.267653:0.458335:0.267653:0.458335:0.251264:0.449342:0.251264:0.000000
4 500 2):@0.484631:0.267653:0.554138:0.267653:0.554138:0.251264:0.484631:0.251264:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.425368:0.267653:0.432849:0.267653:0.432849:0.251292:0.425368:0.251292:0.000000
z:@0.459127:0.267653:0.466369:0.267653:0.466369:0.251292:0.459127:0.251292:0.000000
+:@0.436940:0.267238:0.447057:0.267238:0.447057:0.250296:0.436940:0.250296:0.000000
=:@0.471013:0.267238:0.481130:0.267238:0.481130:0.250296:0.471013:0.250296:0.000000
:@0.371872:0.247751:0.380975:0.247751:0.380975:0.230809:0.371872:0.230809:0.000000
:@0.371872:0.270737:0.380975:0.270737:0.380975:0.253795:0.371872:0.253795:0.000000
 (:@0.530717:0.267653:0.539949:0.267653:0.539949:0.251264:0.530717:0.251264:0.000000:0.000000
Respondemos: existen innitas soluciones, que dependen de los valores asignados a  .:@0.096359:0.694705:0.712505:0.694705:0.712505:0.678316:0.096359:0.678316:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.279133:0.694705:0.283169:0.694705:0.283169:0.678316:0.279133:0.678316:0.000000
x:@0.702085:0.694705:0.709548:0.694705:0.709548:0.678344:0.702085:0.678344:0.000000
Auriculares ( ):@0.147730:0.721029:0.250705:0.721029:0.250705:0.705665:0.147730:0.705665:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.237756:0.721029:0.245663:0.721029:0.245663:0.705665:0.237756:0.705665:0.000000
Parlantes  = 2  + 20:@0.332526:0.721029:0.476328:0.721029:0.476328:0.705665:0.332526:0.705665:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.403204:0.721029:0.411111:0.721029:0.411111:0.705665:0.403204:0.705665:0.000000
x:@0.433543:0.721029:0.441450:0.721029:0.441450:0.705665:0.433543:0.705665:0.000000
Micrófonos   = 620 – 3:@0.525078:0.721029:0.686303:0.721029:0.686303:0.705665:0.525078:0.705665:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.610247:0.721029:0.618154:0.721029:0.618154:0.705665:0.610247:0.705665:0.000000
x:@0.686303:0.721029:0.694210:0.721029:0.694210:0.705665:0.686303:0.705665:0.000000
100:@0.186948:0.743560:0.211473:0.743560:0.211473:0.728661:0.186948:0.728661:0.000000:0.000000:0.000000
220:@0.392164:0.743560:0.416690:0.743560:0.416690:0.728661:0.392164:0.728661:0.000000:0.000000:0.000000
320:@0.597381:0.743560:0.621907:0.743560:0.621907:0.728661:0.597381:0.728661:0.000000:0.000000:0.000000
120:@0.186948:0.764947:0.211473:0.764947:0.211473:0.750048:0.186948:0.750048:0.000000:0.000000:0.000000
260:@0.392164:0.764947:0.416690:0.764947:0.416690:0.750048:0.392164:0.750048:0.000000:0.000000:0.000000
260:@0.597381:0.764947:0.621907:0.764947:0.621907:0.750048:0.597381:0.750048:0.000000:0.000000:0.000000
2.:@0.096359:0.800226:0.110585:0.800226:0.110585:0.783325:0.096359:0.783325:0.000000:0.000000
  Resolvamos el siguiente sistema de ecuaciones: :@0.110585:0.800226:0.477625:0.800226:0.477625:0.783837:0.110585:0.783837:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ingresa al sitio web :@0.754711:0.152609:0.885713:0.152609:0.885713:0.137710:0.754711:0.137710:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y resuelve los ejercicios :@0.754711:0.167696:0.912449:0.167696:0.912449:0.152797:0.754711:0.152797:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para practicar más acerca :@0.754711:0.182784:0.927544:0.182784:0.927544:0.167885:0.754711:0.167885:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de este tema.:@0.754711:0.197872:0.844302:0.197872:0.844302:0.182972:0.754711:0.182972:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué pasa con las rectas :@0.754711:0.216517:0.912601:0.216517:0.912601:0.201643:0.754711:0.201643:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuando un sistema :@0.754711:0.231605:0.878895:0.231605:0.878895:0.216731:0.754711:0.216731:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
no tiene solución?:@0.754711:0.246693:0.868343:0.246693:0.868343:0.231819:0.754711:0.231819:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lynk.ec/11mtc05:@0.754711:0.265338:0.865125:0.265338:0.865125:0.250213:0.754711:0.250213:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Digital:@0.806485:0.120167:0.856955:0.120167:0.856955:0.103266:0.806485:0.103266:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Resolver sistemas de :@0.754293:0.533957:0.895212:0.533957:0.895212:0.519058:0.754293:0.519058:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuaciones me recuerda :@0.754293:0.549044:0.921329:0.549044:0.921329:0.534145:0.754293:0.534145:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que cada paso debe ser :@0.754293:0.564132:0.916473:0.564132:0.916473:0.549233:0.754293:0.549233:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
coherente y honesto, :@0.754293:0.579220:0.899065:0.579220:0.899065:0.564321:0.754293:0.564321:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como en la vida. ¿Estoy :@0.754293:0.594307:0.912333:0.594307:0.912333:0.579408:0.754293:0.579408:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
siendo fiel a mis principios :@0.754293:0.609395:0.933684:0.609395:0.933684:0.594496:0.754293:0.594496:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
al tomar decisiones :@0.754293:0.624483:0.886938:0.624483:0.886938:0.609584:0.754293:0.609584:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cotidianas?:@0.754293:0.639570:0.828791:0.639570:0.828791:0.624671:0.754293:0.624671:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   Ética e integridad:@0.769375:0.501516:0.912226:0.501516:0.912226:0.484615:0.769375:0.484615:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©Shutterstock:@0.946516:0.694671:0.946516:0.651846:0.934605:0.651846:0.934605:0.694671:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000