22:@0.058194:0.966765:0.075166:0.966765:0.075166:0.950778:0.058194:0.950778:0.000000:0.000000 Sistemas de dos ecuaciones :@0.404235:0.109847:0.740958:0.109847:0.740958:0.065187:0.404235:0.065187:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 lineales con tres incógnitas:@0.404235:0.147566:0.737038:0.147566:0.737038:0.102906:0.404235:0.102906:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 M.5.1.11. Resolver sistemas de dos ecuaciones lineales con tres incógnitas (ninguna solución, solución única, infinitas soluciones), de manera analítica, utilizando los métodos :@0.143847:0.940354:0.894252:0.940354:0.894252:0.930312:0.143847:0.930312:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 de sustitución o eliminación gaussiana.:@0.143847:0.949155:0.311079:0.949155:0.311079:0.939113:0.143847:0.939113:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Consideramos sistemas de ecuaciones lineales de la forma::@0.404236:0.171039:0.817104:0.171039:0.817104:0.154541:0.404236:0.154541:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( , , ) :@0.505032:0.205740:0.556162:0.205740:0.556162:0.189243:0.505032:0.189243:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x y z:@0.510927:0.205856:0.546183:0.205856:0.546183:0.189387:0.510927:0.189387:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.556104:0.205523:0.572152:0.205523:0.572152:0.190877:0.556104:0.190877:0.000000 :@0.572102:0.205222:0.576499:0.205222:0.576499:0.191848:0.572102:0.191848:0.000000 :@0.576446:0.204772:0.590355:0.204772:0.590355:0.191325:0.576446:0.191325:0.000000 3:@0.590298:0.199389:0.595252:0.199389:0.595252:0.189770:0.590298:0.189770:0.000000 tal que:@0.595217:0.205740:0.648505:0.205740:0.648505:0.189243:0.595217:0.189243:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 donde , , , :@0.404240:0.247570:0.523012:0.247569:0.523012:0.231072:0.404240:0.231072:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a b c d:@0.455274:0.247686:0.516772:0.247685:0.516772:0.231216:0.455274:0.231217:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 i:@0.464131:0.250915:0.466344:0.250915:0.466344:0.241314:0.464131:0.241314:0.000000 i:@0.482430:0.250915:0.484642:0.250915:0.484642:0.241314:0.482430:0.241314:0.000000 i:@0.498494:0.250915:0.500706:0.250915:0.500706:0.241314:0.498494:0.241314:0.000000 i:@0.516656:0.250915:0.518869:0.250915:0.518869:0.241314:0.516656:0.241314:0.000000 :@0.523012:0.247353:0.539059:0.247353:0.539059:0.232706:0.523012:0.232706:0.000000 :@0.539001:0.247051:0.543398:0.247051:0.543398:0.233678:0.539001:0.233678:0.000000 :@0.543346:0.246601:0.557256:0.246601:0.557256:0.233154:0.543346:0.233154:0.000000 , | | + | | + | | > 0, = 1, 2.:@0.557198:0.247569:0.784228:0.247569:0.784228:0.231072:0.557198:0.231072:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.573246:0.247685:0.582224:0.247685:0.582224:0.231216:0.573246:0.231216:0.000000 i :@0.582106:0.250915:0.586734:0.250915:0.586734:0.241314:0.582106:0.241314:0.000000:0.000000 b:@0.619985:0.247685:0.629252:0.247685:0.629252:0.231216:0.619985:0.231216:0.000000 i :@0.629174:0.250915:0.633801:0.250915:0.633801:0.241314:0.629174:0.241314:0.000000:0.000000 c:@0.667054:0.247685:0.674240:0.247685:0.674240:0.231216:0.667054:0.231216:0.000000 i :@0.674008:0.250915:0.678636:0.250915:0.678636:0.241314:0.674008:0.241314:0.000000:0.000000 i:@0.734697:0.247685:0.738493:0.247685:0.738493:0.231216:0.734697:0.231216:0.000000 Resolver el sistema de ecuaciones precedente significa hallar todas las :@0.404240:0.282271:0.895845:0.282271:0.895845:0.265773:0.404240:0.265773:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ternas ( , , ) :@0.404240:0.299622:0.502840:0.299622:0.502840:0.283124:0.404240:0.283124:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x y z:@0.457663:0.299737:0.492803:0.299737:0.492803:0.283269:0.457663:0.283269:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.502724:0.299405:0.518772:0.299405:0.518772:0.284758:0.502724:0.284758:0.000000 :@0.518715:0.299103:0.523113:0.299103:0.523113:0.285730:0.518715:0.285730:0.000000 :@0.523001:0.298653:0.536910:0.298653:0.536910:0.285206:0.523001:0.285206:0.000000 3:@0.536852:0.293270:0.541805:0.293270:0.541805:0.283652:0.536852:0.283652:0.000000 que satisfacen las dos ecuaciones. Se designa con :@0.541772:0.299622:0.895900:0.299622:0.895900:0.283124:0.541772:0.283124:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 S:@0.404237:0.317088:0.412117:0.317088:0.412117:0.300619:0.404237:0.300619:0.000000 al conjunto de todas las soluciones de tal sistema. Esto es, :@0.412117:0.316972:0.828508:0.316972:0.828508:0.300475:0.412117:0.300475:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 S:@0.494591:0.351790:0.502471:0.351790:0.502471:0.335321:0.494591:0.335321:0.000000 = ( , , ) :@0.502413:0.351674:0.580630:0.351674:0.580630:0.335176:0.502413:0.335176:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x y z:@0.535395:0.351790:0.570650:0.351790:0.570650:0.335321:0.535395:0.335321:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.580572:0.351457:0.596620:0.351457:0.596620:0.336810:0.580572:0.336810:0.000000 :@0.596567:0.351155:0.600965:0.351155:0.600965:0.337782:0.596567:0.337782:0.000000 :@0.600911:0.350705:0.614821:0.350705:0.614821:0.337258:0.600911:0.337258:0.000000 3:@0.614764:0.345322:0.619717:0.345322:0.619717:0.335704:0.614764:0.335704:0.000000 | .:@0.619682:0.351674:0.801411:0.351674:0.801411:0.335176:0.619682:0.335176:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Este tipo de ecuaciones se caracterizan por tener infinitas soluciones, :@0.404239:0.393504:0.895861:0.393504:0.895861:0.377006:0.404239:0.377006:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 o ninguna solución.:@0.404239:0.410855:0.543351:0.410855:0.543351:0.394357:0.404239:0.394357:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ejercicio resuelto:@0.404239:0.444428:0.522217:0.444428:0.522217:0.427641:0.404239:0.427641:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Considera el sistema de ecuaciones: ( , , ) :@0.404239:0.461403:0.711824:0.461403:0.711824:0.444905:0.404239:0.444905:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x y z:@0.666127:0.461519:0.701729:0.461519:0.701729:0.445050:0.666127:0.445050:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.711770:0.461186:0.727818:0.461186:0.727818:0.446539:0.711770:0.446539:0.000000 :@0.727752:0.460880:0.732149:0.460880:0.732149:0.447507:0.727752:0.447507:0.000000 :@0.732096:0.460430:0.746005:0.460430:0.746005:0.446983:0.732096:0.446983:0.000000 3:@0.745948:0.455046:0.750901:0.455046:0.750901:0.445428:0.745948:0.445428:0.000000 , tal que:@0.750867:0.461399:0.806909:0.461399:0.806909:0.444901:0.750867:0.444901:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Primeramente, el sistema de ecuaciones propuesto es lineal con tres :@0.404227:0.525524:0.895911:0.525524:0.895911:0.509026:0.404227:0.509026:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 incógnitas , , :@0.404227:0.542875:0.521206:0.542875:0.521206:0.526377:0.404227:0.526377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x y z:@0.481461:0.542991:0.517064:0.542991:0.517064:0.526522:0.481461:0.526522:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.521148:0.542658:0.537196:0.542658:0.537196:0.528011:0.521148:0.528011:0.000000 :@0.537145:0.542353:0.541542:0.542353:0.541542:0.528980:0.537145:0.528980:0.000000 :@0.541489:0.541903:0.555398:0.541903:0.555398:0.528456:0.541489:0.528456:0.000000 . Denotamos con al conjunto solución: :@0.555340:0.542872:0.846492:0.542872:0.846492:0.526374:0.555340:0.526374:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 S:@0.681873:0.542987:0.689752:0.542987:0.689752:0.526519:0.681873:0.526519:0.000000 S:@0.502881:0.577689:0.510760:0.577689:0.510760:0.561220:0.502881:0.561220:0.000000 = ( , , ) :@0.510703:0.577573:0.588920:0.577573:0.588920:0.561076:0.510703:0.561076:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x y z:@0.543685:0.577689:0.578940:0.577689:0.578940:0.561220:0.543685:0.561220:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.588862:0.577356:0.604910:0.577356:0.604910:0.562709:0.588862:0.562709:0.000000 :@0.604851:0.577055:0.609249:0.577055:0.609249:0.563681:0.604851:0.563681:0.000000 :@0.609195:0.576605:0.623105:0.576605:0.623105:0.563158:0.609195:0.563158:0.000000 3:@0.623048:0.571220:0.628001:0.571220:0.628001:0.561602:0.623048:0.561602:0.000000 | .:@0.627966:0.577573:0.793127:0.577573:0.793127:0.561076:0.627966:0.561076:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Determinamos este conjunto . De la primera ecuación, obtenemos :@0.404239:0.618304:0.888467:0.618304:0.888467:0.601806:0.404239:0.601806:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 S:@0.616869:0.618420:0.624749:0.618420:0.624749:0.601951:0.616869:0.601951:0.000000 z:@0.404239:0.635771:0.410885:0.635771:0.410885:0.619302:0.404239:0.619302:0.000000 = –1 – 2 + . Reemplazamos en la segunda ecuación::@0.410885:0.635655:0.798267:0.635655:0.798267:0.619157:0.410885:0.619157:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x y:@0.476252:0.635771:0.510506:0.635771:0.510506:0.619302:0.476252:0.619302:0.000000:0.000000:0.000000 x:@0.551599:0.656678:0.559074:0.656678:0.559074:0.640209:0.551599:0.640209:0.000000 + 3 – 2(–1 – 2 + ) = 2,:@0.559074:0.656563:0.744405:0.656563:0.744405:0.640065:0.559074:0.640065:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.586661:0.656678:0.594348:0.656678:0.594348:0.640209:0.586661:0.640209:0.000000 x y:@0.673856:0.656678:0.708110:0.656678:0.708110:0.640209:0.673856:0.640209:0.000000:0.000000:0.000000 de donde 5 + = 0, y de esta ecuación, = –5x. Reemplazamos en :@0.404239:0.685987:0.895846:0.685987:0.895846:0.669489:0.404239:0.669489:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x y:@0.485365:0.686102:0.519194:0.686102:0.519194:0.669633:0.485365:0.669633:0.000000:0.000000:0.000000 y:@0.689786:0.686102:0.697473:0.686102:0.697473:0.669633:0.689786:0.669633:0.000000 y:@0.862536:0.686102:0.870223:0.686102:0.870223:0.669633:0.862536:0.669633:0.000000 la primera ecuación: :@0.404239:0.703337:0.551115:0.703337:0.551115:0.686840:0.404239:0.686840:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2 – (–5 ) + = –1, de donde = –1 – 7 .:@0.498446:0.727816:0.797575:0.727816:0.797575:0.711319:0.498446:0.711319:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.506942:0.727932:0.514417:0.727932:0.514417:0.711463:0.506942:0.711463:0.000000 x:@0.558149:0.727932:0.565624:0.727932:0.565624:0.711463:0.558149:0.711463:0.000000 z:@0.590669:0.727932:0.597315:0.727932:0.597315:0.711463:0.590669:0.711463:0.000000 z:@0.715332:0.727932:0.721979:0.727932:0.721979:0.711463:0.715332:0.711463:0.000000 x:@0.787346:0.727932:0.794820:0.727932:0.794820:0.711463:0.787346:0.711463:0.000000 El sistema de ecuaciones tiene infinitas soluciones que se expresan :@0.404239:0.757240:0.895959:0.757240:0.895959:0.740743:0.404239:0.740743:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 como::@0.404239:0.774591:0.448780:0.774591:0.448780:0.758093:0.404239:0.758093:0.000000:0.000000:0.000000:0.000000:0.000000 ˆx:@0.475289:0.799186:0.482725:0.799186:0.482725:0.782717:0.475289:0.782717:0.000000:0.000000 = ( , , :@0.482687:0.799070:0.552446:0.799070:0.552446:0.782572:0.482687:0.782572:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x y z):@0.507732:0.799186:0.548362:0.799186:0.548362:0.782717:0.507732:0.782717:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.552389:0.798853:0.568436:0.798853:0.568436:0.784206:0.552389:0.784206:0.000000 :@0.568368:0.798557:0.572765:0.798557:0.572765:0.785184:0.568368:0.785184:0.000000 S:@0.572713:0.799191:0.580593:0.799191:0.580593:0.782723:0.572713:0.782723:0.000000 :@0.580535:0.799076:0.741242:0.799076:0.741242:0.782578:0.580535:0.782578:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.741242:0.799293:0.809750:0.799293:0.809750:0.782578:0.741242:0.782578:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 = –5 ,:@0.809692:0.799076:0.846639:0.800319:0.846639:0.783822:0.809692:0.782578:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 .:@0.817976:0.799076:0.820731:0.799076:0.820731:0.782578:0.817976:0.782578:0.000000 Reemplazando las soluciones , en se tiene: :@0.404235:0.840906:0.735923:0.840906:0.735923:0.824408:0.404235:0.824408:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y z:@0.616149:0.841021:0.637380:0.841021:0.637380:0.824552:0.616149:0.824552:0.000000:0.000000:0.000000 ˆx:@0.663214:0.841021:0.670651:0.841021:0.670651:0.824552:0.663214:0.824552:0.000000:0.000000 ˆx:@0.555063:0.861929:0.562499:0.861929:0.562499:0.845460:0.555063:0.845460:0.000000:0.000000 = ( , –5 , –1 – 7 ) :@0.562461:0.861813:0.699090:0.861813:0.699090:0.845316:0.562461:0.845316:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.587506:0.861929:0.594981:0.861929:0.594981:0.845460:0.587506:0.845460:0.000000 x:@0.620873:0.861929:0.628348:0.861929:0.628348:0.845460:0.620873:0.845460:0.000000 x:@0.681520:0.861929:0.688995:0.861929:0.688995:0.845460:0.681520:0.845460:0.000000 :@0.699090:0.861596:0.715138:0.861596:0.715138:0.846949:0.699090:0.846949:0.000000 :@0.715075:0.861301:0.719473:0.861301:0.719473:0.847928:0.715075:0.847928:0.000000 :@0.719419:0.860851:0.733329:0.860851:0.733329:0.847405:0.719419:0.847405:0.000000 3:@0.733272:0.855467:0.738225:0.855467:0.738225:0.845849:0.733272:0.845849:0.000000 .:@0.738190:0.861820:0.740945:0.861820:0.740945:0.845322:0.738190:0.845322:0.000000 Así, el conjunto solución queda determinado como: :@0.404227:0.892748:0.789642:0.892748:0.789642:0.876250:0.404227:0.876250:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 S:@0.583276:0.892863:0.591156:0.892863:0.591156:0.876395:0.583276:0.876395:0.000000 S:@0.543129:0.913771:0.551009:0.913771:0.551009:0.897302:0.543129:0.897302:0.000000 = {( , –5 , –1 –7 ) | :@0.551009:0.913655:0.710121:0.913655:0.710121:0.897158:0.551009:0.897158:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.581910:0.913771:0.589385:0.913771:0.589385:0.897302:0.581910:0.897302:0.000000 x:@0.615278:0.913771:0.622753:0.913771:0.622753:0.897302:0.615278:0.897302:0.000000 x x:@0.671783:0.913771:0.705979:0.913771:0.705979:0.897302:0.671783:0.897302:0.000000:0.000000:0.000000 :@0.710063:0.913439:0.726111:0.913439:0.726111:0.898792:0.710063:0.898792:0.000000 :@0.726060:0.913146:0.730457:0.913146:0.730457:0.899772:0.726060:0.899772:0.000000 :@0.730404:0.912696:0.744313:0.912696:0.744313:0.899249:0.730404:0.899249:0.000000 }.:@0.744255:0.913664:0.752867:0.913664:0.752867:0.897167:0.744255:0.897167:0.000000:0.000000 Saberes previos:@0.199646:0.101454:0.307805:0.101454:0.307805:0.085981:0.199646:0.085981:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ¿Cuántas soluciones tie-:@0.199884:0.130082:0.355571:0.130082:0.355571:0.115019:0.199884:0.115019:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ne un sistema de dos ecuacio-:@0.153341:0.145924:0.348518:0.145924:0.348518:0.130861:0.153341:0.130861:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 nes lineales con tres incógnitas?:@0.153341:0.161766:0.357416:0.161766:0.357416:0.146703:0.153341:0.146703:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Desequilibrio cognitivo:@0.199646:0.208918:0.363493:0.208918:0.363493:0.193445:0.199646:0.193445:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ¿Puede un sistema de :@0.199884:0.237545:0.342609:0.237545:0.342609:0.222482:0.199884:0.222482:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 dos ecuaciones lineales con tres :@0.153341:0.253387:0.362553:0.253387:0.362553:0.238324:0.153341:0.238324:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 incógnitas tener solución única? :@0.153341:0.269229:0.365226:0.269229:0.365226:0.254166:0.153341:0.254166:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Justifica tu respuesta.:@0.153341:0.285071:0.289236:0.285071:0.289236:0.270008:0.153341:0.270008:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a x b y c z d:@0.671323:0.198096:0.799864:0.198096:0.799864:0.181627:0.671323:0.181627:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.680301:0.201258:0.685254:0.201258:0.685254:0.191640:0.680301:0.191640:0.000000 + :@0.692728:0.197980:0.711819:0.197980:0.711819:0.181483:0.692728:0.181483:0.000000:0.000000:0.000000 1:@0.721086:0.201258:0.726039:0.201258:0.726039:0.191640:0.721086:0.191640:0.000000 + = ,:@0.733725:0.197980:0.807571:0.197980:0.807571:0.181483:0.733725:0.181483:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.760002:0.201258:0.764955:0.201258:0.764955:0.191640:0.760002:0.191640:0.000000 1:@0.799864:0.201258:0.804817:0.201258:0.804817:0.191640:0.799864:0.191640:0.000000 a x b y c z d:@0.671327:0.215447:0.799864:0.215447:0.799864:0.198978:0.671327:0.198978:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.680301:0.218609:0.685254:0.218609:0.685254:0.208991:0.680301:0.208991:0.000000 + :@0.692728:0.215331:0.711819:0.215331:0.711819:0.198833:0.692728:0.198833:0.000000:0.000000:0.000000 2:@0.721086:0.218609:0.726039:0.218609:0.726039:0.208991:0.721086:0.208991:0.000000 + = ,:@0.733725:0.215331:0.807571:0.215331:0.807571:0.198833:0.733725:0.198833:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.760002:0.218609:0.764955:0.218609:0.764955:0.208991:0.760002:0.208991:0.000000 2:@0.799864:0.218609:0.804817:0.218609:0.804817:0.208991:0.799864:0.208991:0.000000 a x b y c z d:@0.646186:0.343943:0.774736:0.343943:0.774736:0.327474:0.646186:0.327475:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.655172:0.347105:0.660125:0.347105:0.660125:0.337487:0.655172:0.337487:0.000000 + :@0.667599:0.343827:0.686691:0.343827:0.686691:0.327330:0.667599:0.327330:0.000000:0.000000:0.000000 1:@0.695957:0.347105:0.700911:0.347105:0.700911:0.337487:0.695957:0.337487:0.000000 + = ,:@0.708596:0.343827:0.782442:0.343827:0.782442:0.327330:0.708596:0.327330:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.734873:0.347105:0.739826:0.347105:0.739826:0.337487:0.734873:0.337487:0.000000 1:@0.774736:0.347105:0.779689:0.347105:0.779689:0.337487:0.774736:0.337487:0.000000 a x b y c z d:@0.646199:0.361294:0.774736:0.361294:0.774736:0.344825:0.646199:0.344825:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.655172:0.364456:0.660125:0.364456:0.660125:0.354838:0.655172:0.354838:0.000000 + :@0.667599:0.361178:0.686691:0.361178:0.686691:0.344680:0.667599:0.344680:0.000000:0.000000:0.000000 2:@0.695957:0.364456:0.700911:0.364456:0.700911:0.354838:0.695957:0.354838:0.000000 + = :@0.708596:0.361178:0.765565:0.361178:0.765565:0.344680:0.708596:0.344680:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.734873:0.364456:0.739826:0.364456:0.739826:0.354838:0.734873:0.354838:0.000000 2:@0.774736:0.364456:0.779689:0.364456:0.779689:0.354838:0.774736:0.354838:0.000000 2 – + = –1,:@0.648146:0.570310:0.772002:0.570310:0.772002:0.553812:0.648146:0.553812:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.656642:0.570426:0.664117:0.570426:0.664117:0.553957:0.656642:0.553957:0.000000 y:@0.691185:0.570426:0.698871:0.570426:0.698871:0.553957:0.691185:0.553957:0.000000 z:@0.724514:0.570426:0.731160:0.570426:0.731160:0.553957:0.724514:0.553957:0.000000 x:@0.648146:0.587776:0.663905:0.587776:0.663905:0.571308:0.648146:0.571308:0.000000:0.000000:0.000000 + 3 – 2 = 2:@0.663905:0.587661:0.758960:0.587661:0.758960:0.571163:0.663905:0.571163:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.691493:0.587776:0.699180:0.587776:0.699180:0.571308:0.691493:0.571308:0.000000 z:@0.724725:0.587776:0.731372:0.587776:0.731372:0.571308:0.724725:0.571308:0.000000 2 – + = –1,:@0.616031:0.791084:0.739887:0.791084:0.739887:0.774586:0.616031:0.774586:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.624527:0.791199:0.632002:0.791199:0.632002:0.774731:0.624527:0.774731:0.000000 y:@0.659069:0.791199:0.666756:0.791199:0.666756:0.774731:0.659069:0.774731:0.000000 z:@0.692398:0.791199:0.699045:0.791199:0.699045:0.774731:0.692398:0.774731:0.000000 x:@0.616031:0.808550:0.631790:0.808550:0.631790:0.792081:0.616031:0.792081:0.000000:0.000000:0.000000 + 3 – 2 = 2.:@0.631790:0.808434:0.729600:0.808434:0.729600:0.791937:0.631790:0.791937:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.659378:0.808550:0.667065:0.808550:0.667065:0.792081:0.659378:0.792081:0.000000 z:@0.692610:0.808550:0.699257:0.808550:0.699257:0.792081:0.692610:0.792081:0.000000 x:@0.792346:0.783073:0.799821:0.783073:0.799821:0.766605:0.792346:0.766605:0.000000 :@0.799821:0.782958:0.803963:0.782958:0.803963:0.766460:0.799821:0.766460:0.000000 :@0.803963:0.782741:0.820011:0.782741:0.820011:0.768094:0.803963:0.768094:0.000000 :@0.819969:0.782450:0.824366:0.782450:0.824366:0.769077:0.819969:0.769077:0.000000 :@0.824313:0.782000:0.838222:0.782000:0.838222:0.768553:0.824313:0.768553:0.000000 ,:@0.838164:0.782968:0.840919:0.782968:0.840919:0.766471:0.838164:0.766471:0.000000 y:@0.792371:0.800435:0.800058:0.800435:0.800058:0.783966:0.792371:0.783966:0.000000 x:@0.836409:0.800435:0.843884:0.800435:0.843884:0.783966:0.836409:0.783966:0.000000 z:@0.792371:0.817786:0.799017:0.817786:0.799017:0.801317:0.792371:0.801317:0.000000 = –1 – 7 .:@0.799017:0.817670:0.872880:0.817670:0.872880:0.801172:0.799017:0.801172:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.862650:0.817786:0.870125:0.817786:0.870125:0.801317:0.862650:0.801317:0.000000 2 – + = –1,:@0.597750:0.482013:0.721606:0.482013:0.721606:0.465516:0.597750:0.465516:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.606246:0.482129:0.613721:0.482129:0.613721:0.465660:0.606246:0.465660:0.000000 y:@0.640788:0.482129:0.648475:0.482129:0.648475:0.465660:0.640788:0.465660:0.000000 z:@0.674117:0.482129:0.680764:0.482129:0.680764:0.465660:0.674117:0.465660:0.000000 x:@0.597750:0.499480:0.613509:0.499480:0.613509:0.483011:0.597750:0.483011:0.000000:0.000000:0.000000 + 3 – 2 = 2.:@0.613509:0.499364:0.711319:0.499364:0.711319:0.482866:0.613509:0.482866:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.641097:0.499480:0.648783:0.499480:0.648783:0.483011:0.641097:0.483011:0.000000 z:@0.674329:0.499480:0.680976:0.499480:0.680976:0.483011:0.674329:0.483011:0.000000 Competencia :@0.199646:0.378389:0.297269:0.378389:0.297269:0.362917:0.199646:0.362917:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 matemática:@0.199646:0.390957:0.283709:0.390957:0.283709:0.375485:0.199646:0.375485:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 En temas de años ante-:@0.199884:0.415430:0.350736:0.415430:0.350736:0.400367:0.199884:0.400367:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 riores se consideró la ecuación :@0.153341:0.431272:0.353882:0.431272:0.353882:0.416209:0.153341:0.416209:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 lineal ( , ) :@0.153341:0.447114:0.225618:0.447114:0.225618:0.432051:0.153341:0.432051:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x y:@0.196260:0.447220:0.216401:0.447220:0.216401:0.432183:0.196260:0.432183:0.000000:0.000000:0.000000 :@0.225622:0.446766:0.239577:0.446766:0.239577:0.434029:0.225622:0.434029:0.000000 :@0.239577:0.446916:0.243974:0.446916:0.243974:0.433543:0.239577:0.433543:0.000000 :@0.243974:0.446230:0.256674:0.446230:0.256674:0.433952:0.243974:0.433952:0.000000 2:@0.256674:0.441315:0.261197:0.441315:0.261197:0.432533:0.256674:0.432533:0.000000 tal que:@0.261196:0.447114:0.309848:0.447114:0.309848:0.432051:0.261196:0.432051:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ax by c:@0.153351:0.463062:0.225259:0.463062:0.225259:0.448025:0.153351:0.448025:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 + = , donde , , :@0.168391:0.462956:0.317746:0.462956:0.317746:0.447893:0.168391:0.447893:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a b c:@0.278151:0.463062:0.313964:0.463062:0.313964:0.448025:0.278151:0.448025:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.317737:0.462608:0.331692:0.462608:0.331692:0.449871:0.317737:0.449871:0.000000 :@0.331692:0.462758:0.336089:0.462758:0.336089:0.449385:0.331692:0.449385:0.000000 :@0.336089:0.462072:0.348789:0.462072:0.348789:0.449794:0.336089:0.449794:0.000000 :@0.348789:0.462956:0.352571:0.462956:0.352571:0.447893:0.348789:0.447893:0.000000 fijos y | | + | | > 0. El conjunto :@0.153346:0.478798:0.356388:0.478798:0.356388:0.463735:0.153346:0.463735:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.198817:0.478904:0.207014:0.478904:0.207014:0.463867:0.198817:0.463867:0.000000 b:@0.233592:0.478904:0.242053:0.478904:0.242053:0.463867:0.233592:0.463867:0.000000 solución está definido como:@0.153346:0.494640:0.349526:0.494640:0.349526:0.479577:0.153346:0.479577:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 S:@0.212326:0.494746:0.219520:0.494746:0.219520:0.479709:0.212326:0.479709:0.000000 S = {( , ) :@0.161280:0.517611:0.226099:0.517611:0.226099:0.502548:0.161280:0.502548:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x y:@0.196741:0.517717:0.216882:0.517717:0.216882:0.502680:0.196741:0.502680:0.000000:0.000000:0.000000 :@0.226091:0.517262:0.240046:0.517262:0.240046:0.504526:0.226091:0.504526:0.000000 :@0.240046:0.517413:0.244443:0.517413:0.244443:0.504040:0.240046:0.504040:0.000000 :@0.244443:0.516727:0.257143:0.516727:0.257143:0.504449:0.244443:0.504449:0.000000 2:@0.257142:0.511811:0.261664:0.511811:0.261664:0.503029:0.257142:0.503029:0.000000 | + = }.:@0.261665:0.517611:0.353573:0.517611:0.353573:0.502548:0.261665:0.502548:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ax by c:@0.273802:0.517717:0.345710:0.517717:0.345710:0.502680:0.273802:0.502680:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Esta es una ecuación lineal que :@0.153346:0.540582:0.357333:0.540582:0.357333:0.525519:0.153346:0.525519:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 tiene dos incógnitas. Como se :@0.153346:0.556424:0.351953:0.556424:0.351953:0.541361:0.153346:0.541361:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 vio, el conjunto representa :@0.153346:0.572266:0.339868:0.572266:0.339868:0.557203:0.153346:0.557203:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 S:@0.256916:0.572372:0.264110:0.572372:0.264110:0.557335:0.256916:0.557335:0.000000 una recta.:@0.153346:0.588108:0.217407:0.588108:0.217407:0.573045:0.153346:0.573045:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000