12:@0.058194:0.966765:0.075166:0.966765:0.075166:0.950778:0.058194:0.950778:0.000000:0.000000
Sistemas de tres ecuaciones :@0.404231:0.116261:0.748242:0.116261:0.748242:0.071602:0.404231:0.071602:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lineales con tres incógnitas:@0.404231:0.153980:0.737034:0.153980:0.737034:0.109321:0.404231:0.109321:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.1.10. Resolver sistemas de ecuaciones lineales con tres incógnitas (infinitas soluciones), utilizando los métodos de sustitución o eliminación gaussiana.:@0.143847:0.941423:0.805164:0.941423:0.805164:0.931381:0.143847:0.931381:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.1.13. Resolver y plantear problemas de aplicación de sistemas de ecuaciones lineales (hasta tres ecuaciones lineales con hasta tres incógnitas); interpretar y juzgar la validez :@0.143847:0.950224:0.894278:0.950224:0.894278:0.940182:0.143847:0.940182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de las soluciones obtenidas dentro del contexto del problema.:@0.143847:0.959025:0.412665:0.959025:0.412665:0.948983:0.143847:0.948983:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se designa con   al producto cartesiano   ×   ×  , esto es, :@0.404235:0.177454:0.843693:0.177454:0.843693:0.160956:0.404235:0.160956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.513469:0.176485:0.527378:0.176485:0.527378:0.163038:0.513469:0.163038:0.000000
3:@0.527375:0.171102:0.532328:0.171102:0.532328:0.161484:0.527375:0.161484:0.000000
  :@0.701439:0.176485:0.781351:0.176485:0.781351:0.163038:0.701439:0.163038:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.404234:0.192823:0.418143:0.192823:0.418143:0.179377:0.404234:0.179377:0.000000
3:@0.418144:0.187447:0.423097:0.187447:0.423097:0.177829:0.418144:0.177829:0.000000
 = {( ,  ,  ) |  ,  ,   :@0.423096:0.193798:0.543851:0.193798:0.543851:0.177301:0.423096:0.177301:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y z x y z:@0.452803:0.193914:0.539709:0.193914:0.539709:0.177445:0.452803:0.177445:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.543253:0.193582:0.559301:0.193582:0.559301:0.178935:0.543253:0.178935:0.000000
 :@0.559333:0.193280:0.563731:0.193280:0.563731:0.179907:0.559333:0.179907:0.000000
:@0.563106:0.192830:0.577015:0.192830:0.577015:0.179383:0.563106:0.179383:0.000000
}. Los elementos de   son ternas ordenadas. :@0.577015:0.193798:0.895888:0.193798:0.895888:0.177301:0.577015:0.177301:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.715956:0.192830:0.729866:0.192830:0.729866:0.179383:0.715956:0.179383:0.000000
3:@0.729896:0.187447:0.734849:0.187447:0.734849:0.177829:0.729896:0.177829:0.000000
Si ( ,  ,  ) :@0.404239:0.210137:0.473690:0.210137:0.473690:0.193639:0.404239:0.193639:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y z:@0.426721:0.210253:0.463595:0.210253:0.463595:0.193784:0.426721:0.193784:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.474326:0.209920:0.490374:0.209920:0.490374:0.195273:0.474326:0.195273:0.000000
 :@0.490360:0.209625:0.494758:0.209625:0.494758:0.196251:0.490360:0.196251:0.000000
:@0.495431:0.209175:0.509341:0.209175:0.509341:0.195728:0.495431:0.195728:0.000000
,   :@0.509341:0.210143:0.528490:0.210143:0.528490:0.193646:0.509341:0.193646:0.000000:0.000000:0.000000:0.000000
x:@0.516873:0.210259:0.524348:0.210259:0.524348:0.193790:0.516873:0.193790:0.000000
:@0.529126:0.209927:0.545174:0.209927:0.545174:0.195280:0.529126:0.195280:0.000000
 :@0.545171:0.209625:0.549568:0.209625:0.549568:0.196251:0.545171:0.196251:0.000000
 :@0.550242:0.209175:0.568968:0.209175:0.568968:0.195728:0.550242:0.195728:0.000000:0.000000
se denomina primera componente o abscisa; :@0.569700:0.210143:0.895918:0.210143:0.895918:0.193646:0.569700:0.193646:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.404230:0.226598:0.411917:0.226598:0.411917:0.210129:0.404230:0.210129:0.000000
 :@0.411917:0.226482:0.416059:0.226482:0.416059:0.209984:0.411917:0.209984:0.000000
:@0.418121:0.226265:0.434169:0.226265:0.434169:0.211618:0.418121:0.211618:0.000000
 :@0.434163:0.225970:0.438560:0.225970:0.438560:0.212596:0.434163:0.212596:0.000000
:@0.440740:0.225520:0.454649:0.225520:0.454649:0.212073:0.440740:0.212073:0.000000
 se denomina segundo componente u ordenada;   se llama :@0.454649:0.226488:0.895901:0.226488:0.895901:0.209991:0.454649:0.209991:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
z:@0.820207:0.226604:0.826854:0.226604:0.826854:0.210135:0.820207:0.210135:0.000000
tercera componente.:@0.404232:0.242827:0.554058:0.242827:0.554058:0.226329:0.404232:0.226329:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Un sistema de tres ecuaciones lineales con tres incógnitas ( ,  ,  ) :@0.404232:0.275519:0.874901:0.275519:0.874901:0.259021:0.404232:0.259021:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y z:@0.827914:0.275634:0.864922:0.275634:0.864922:0.259166:0.827914:0.259166:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.875711:0.275302:0.891759:0.275302:0.891759:0.260655:0.875711:0.260655:0.000000
 :@0.891768:0.275004:0.896165:0.275004:0.896165:0.261631:0.891768:0.261631:0.000000
:@0.404235:0.290899:0.418144:0.290899:0.418144:0.277452:0.404235:0.277452:0.000000
3:@0.418085:0.285516:0.423039:0.285516:0.423039:0.275898:0.418085:0.275898:0.000000
 se define por el siguiente conjunto de ecuaciones: :@0.423006:0.291868:0.782091:0.291868:0.782091:0.275370:0.423006:0.275370:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a x b y c z d:@0.584680:0.324675:0.713226:0.324673:0.713226:0.308205:0.584680:0.308207:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.593662:0.327836:0.598615:0.327836:0.598615:0.318218:0.593662:0.318218:0.000000
 + :@0.606091:0.324558:0.625183:0.324558:0.625183:0.308060:0.606091:0.308060:0.000000:0.000000:0.000000
1:@0.634448:0.327836:0.639401:0.327836:0.639401:0.318218:0.634448:0.318218:0.000000
 +   = :@0.647088:0.324558:0.704056:0.324558:0.704056:0.308060:0.647088:0.308060:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.673365:0.327836:0.678318:0.327836:0.678318:0.318218:0.673365:0.318218:0.000000
1:@0.713226:0.327836:0.718179:0.327836:0.718179:0.318218:0.713226:0.318218:0.000000
a x b y c z d:@0.584685:0.341018:0.713226:0.341018:0.713226:0.324550:0.584685:0.324550:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.593662:0.344181:0.598615:0.344181:0.598615:0.334563:0.593662:0.334563:0.000000
 + :@0.606091:0.340903:0.625183:0.340903:0.625183:0.324405:0.606091:0.324405:0.000000:0.000000:0.000000
2:@0.634448:0.344181:0.639401:0.344181:0.639401:0.334563:0.634448:0.334563:0.000000
 +   = :@0.647088:0.340903:0.704056:0.340903:0.704056:0.324405:0.647088:0.324405:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.673365:0.344181:0.678318:0.344181:0.678318:0.334563:0.673365:0.334563:0.000000
2:@0.713226:0.344181:0.718179:0.344181:0.718179:0.334563:0.713226:0.334563:0.000000
a x b y c z d:@0.584685:0.357363:0.713226:0.357363:0.713226:0.340895:0.584685:0.340895:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.593662:0.360526:0.598615:0.360526:0.598615:0.350907:0.593662:0.350907:0.000000
 + :@0.606091:0.357248:0.625183:0.357248:0.625183:0.340750:0.606091:0.340750:0.000000:0.000000:0.000000
3:@0.634448:0.360526:0.639401:0.360526:0.639401:0.350907:0.634448:0.350907:0.000000
 +   =   ,:@0.647088:0.357248:0.725076:0.357248:0.725076:0.340750:0.647088:0.340750:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.673365:0.360526:0.678318:0.360526:0.678318:0.350907:0.673365:0.350907:0.000000
3:@0.713226:0.360526:0.718179:0.360526:0.718179:0.350907:0.713226:0.350907:0.000000
donde  ,  ,   :@0.404233:0.389939:0.506107:0.389937:0.506107:0.373440:0.404233:0.373442:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b c:@0.455363:0.390055:0.499750:0.390053:0.499750:0.373584:0.455363:0.373586:0.000000:0.000000:0.000000:0.000000:0.000000
i:@0.464344:0.393283:0.466556:0.393283:0.466556:0.383682:0.464344:0.383682:0.000000
i:@0.483088:0.393283:0.485301:0.393283:0.485301:0.383682:0.483088:0.383682:0.000000
i:@0.499752:0.393283:0.501964:0.393283:0.501964:0.383682:0.499752:0.383682:0.000000
:@0.506473:0.389721:0.522521:0.389721:0.522521:0.375074:0.506473:0.375074:0.000000
 :@0.522466:0.389419:0.526864:0.389419:0.526864:0.376046:0.522466:0.376046:0.000000
:@0.527202:0.388969:0.541112:0.388969:0.541112:0.375522:0.527202:0.375522:0.000000
 para   = 1, 2, 3 se denominan coeficientes de  ,  , :@0.541054:0.389937:0.895901:0.389937:0.895901:0.373440:0.541054:0.373440:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i:@0.581203:0.390053:0.584998:0.390053:0.584998:0.373584:0.581203:0.373584:0.000000
x y:@0.866791:0.390053:0.889061:0.390053:0.889061:0.373584:0.866791:0.373584:0.000000:0.000000:0.000000
z,:@0.404232:0.406392:0.413672:0.406392:0.413672:0.389923:0.404232:0.389923:0.000000:0.000000
 respectivamente, y   :@0.413614:0.406276:0.574763:0.406282:0.574763:0.389785:0.413614:0.389778:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d:@0.559240:0.406392:0.568411:0.406392:0.568411:0.389923:0.559240:0.389923:0.000000
i:@0.568410:0.409628:0.570622:0.409628:0.570622:0.400027:0.568410:0.400027:0.000000
:@0.576092:0.406065:0.592140:0.406065:0.592140:0.391419:0.576092:0.391419:0.000000
 :@0.592082:0.405764:0.596480:0.405764:0.596480:0.392390:0.592082:0.392390:0.000000
 :@0.597839:0.405314:0.616507:0.405314:0.616507:0.391867:0.597839:0.391867:0.000000:0.000000
para   = 1, 2, 3 son llamados términos :@0.617990:0.406282:0.895911:0.406282:0.895911:0.389785:0.617990:0.389785:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i:@0.654594:0.406398:0.658389:0.406398:0.658389:0.389929:0.654594:0.389929:0.000000
independientes.:@0.404223:0.422621:0.517348:0.422621:0.517348:0.406123:0.404223:0.406123:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Denotamos con   al conjunto solución. Es claro que      . Si existe :@0.404223:0.455313:0.895917:0.455317:0.895917:0.438819:0.404223:0.438815:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.523860:0.455428:0.531740:0.455428:0.531740:0.438960:0.523860:0.438960:0.000000
S:@0.777564:0.455428:0.785444:0.455428:0.785444:0.438960:0.777564:0.438960:0.000000
:@0.789547:0.455096:0.805595:0.455096:0.805595:0.440449:0.789547:0.440449:0.000000
:@0.809718:0.454344:0.823627:0.454344:0.823627:0.440897:0.809718:0.440897:0.000000
3:@0.823631:0.448965:0.828584:0.448965:0.828584:0.439347:0.823631:0.439347:0.000000
 :@0.891774:0.455317:0.895917:0.455317:0.895917:0.438819:0.891774:0.438819:0.000000
al menos una terna (  :@0.404248:0.471656:0.578965:0.471656:0.578965:0.455158:0.404248:0.455158:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ˆx, ŷ, ˆz:@0.556790:0.471771:0.610694:0.471771:0.610694:0.455303:0.556790:0.455303:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
) :@0.610694:0.471656:0.620789:0.471656:0.620789:0.455158:0.610694:0.455158:0.000000:0.000000
:@0.622138:0.471439:0.638186:0.471439:0.638186:0.456792:0.622138:0.456792:0.000000
 :@0.638168:0.471143:0.642566:0.471143:0.642566:0.457770:0.638168:0.457770:0.000000
:@0.643996:0.470693:0.657906:0.470693:0.657906:0.457246:0.643996:0.457246:0.000000
3 :@0.657906:0.465310:0.665274:0.465310:0.665274:0.455692:0.657906:0.455692:0.000000:0.000000
para la solución del :@0.666059:0.471662:0.811127:0.471662:0.811127:0.455164:0.666059:0.455164:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sistema de :@0.812475:0.471879:0.895855:0.471879:0.895855:0.455164:0.812475:0.455164:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuaciones:@0.404225:0.488218:0.485525:0.488218:0.485525:0.471503:0.404225:0.471503:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 lineales, escribiremos (  :@0.485525:0.488001:0.671145:0.488001:0.671145:0.471503:0.485525:0.471503:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ˆx, ŷ, ˆz  :@0.648971:0.488116:0.711179:0.488116:0.711179:0.471648:0.648971:0.471648:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
):@0.701084:0.488001:0.707037:0.488001:0.707037:0.471503:0.701084:0.471503:0.000000
:@0.711641:0.487784:0.727689:0.487784:0.727689:0.473137:0.711641:0.473137:0.000000
 :@0.727691:0.487488:0.732089:0.487488:0.732089:0.474115:0.727691:0.474115:0.000000
S:@0.732576:0.488123:0.740456:0.488123:0.740456:0.471654:0.732576:0.471654:0.000000
. En el caso contrario, :@0.740456:0.488007:0.895927:0.488007:0.895927:0.471509:0.740456:0.471509:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
escribiremos   = Ø y diremos que el sistema de ecuaciones no tiene :@0.404239:0.504346:0.895984:0.504346:0.895984:0.487848:0.404239:0.487848:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.497791:0.504461:0.505670:0.504461:0.505670:0.487992:0.497791:0.487992:0.000000
solución.:@0.404239:0.520684:0.466311:0.520684:0.466311:0.504186:0.404239:0.504186:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Encontramos tres clases o grupos de sistemas de ecuaciones lineales.:@0.404239:0.553376:0.890070:0.553376:0.890070:0.536878:0.404239:0.536878:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La :@0.404239:0.569715:0.423870:0.569715:0.423870:0.553217:0.404239:0.553217:0.000000:0.000000:0.000000
primera clase:@0.425045:0.569931:0.522200:0.569931:0.522200:0.553217:0.425045:0.553217:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 está constituida por sistemas de ecuaciones lineales :@0.522007:0.569715:0.895965:0.569715:0.895965:0.553217:0.522007:0.553217:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que posee una :@0.404239:0.586053:0.511874:0.586053:0.511874:0.569555:0.404239:0.569555:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
única solución:@0.512625:0.586270:0.617842:0.586270:0.617842:0.569555:0.512625:0.569555:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 (  :@0.617649:0.586053:0.650497:0.586053:0.650497:0.569555:0.617649:0.569555:0.000000:0.000000:0.000000:0.000000
ˆx, ŷ, ˆz:@0.628496:0.586169:0.681138:0.586169:0.681138:0.569700:0.628496:0.569700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
) :@0.681080:0.586053:0.691175:0.586053:0.691175:0.569555:0.681080:0.569555:0.000000:0.000000
:@0.692062:0.585836:0.708110:0.585836:0.708110:0.571189:0.692062:0.571189:0.000000
 :@0.708056:0.585558:0.712453:0.585558:0.712453:0.572184:0.708056:0.572184:0.000000
:@0.713407:0.585108:0.727316:0.585108:0.727316:0.571661:0.713407:0.571661:0.000000
3:@0.727258:0.579725:0.732211:0.579725:0.732211:0.570107:0.727258:0.570107:0.000000
, en este caso S = {(  :@0.732178:0.586076:0.895913:0.586076:0.895913:0.569579:0.732178:0.569579:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ˆx,:@0.873854:0.586192:0.891771:0.586192:0.891771:0.569723:0.873854:0.569723:0.000000:0.000000:0.000000
ŷ, ˆz:@0.404245:0.602531:0.433566:0.602531:0.433566:0.586062:0.404245:0.586062:0.000000:0.000000:0.000000:0.000000:0.000000
)}. Los sistemas de ecuaciones lineales de este grupo se conocen :@0.433508:0.602415:0.895855:0.602415:0.895855:0.585917:0.433508:0.585917:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con el nombre de :@0.404245:0.618754:0.534940:0.618754:0.534940:0.602256:0.404245:0.602256:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sistemas consistentes:@0.534940:0.618971:0.692414:0.618971:0.692414:0.602256:0.534940:0.602256:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.692414:0.618754:0.695169:0.618754:0.695169:0.602256:0.692414:0.602256:0.000000
El :@0.404245:0.651445:0.420466:0.651445:0.420466:0.634948:0.404245:0.634948:0.000000:0.000000:0.000000
segundo grupo:@0.421525:0.651662:0.533803:0.651662:0.533803:0.634948:0.421525:0.634948:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 de sistemas de ecuaciones lineales es el que con-:@0.533803:0.651445:0.891713:0.651445:0.891713:0.634948:0.533803:0.634948:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
siste en todos aquellos que poseen :@0.404245:0.667784:0.657313:0.667784:0.657313:0.651286:0.404245:0.651286:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una infinidad de soluciones:@0.657679:0.668001:0.860638:0.668001:0.860638:0.651286:0.657679:0.651286:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y se :@0.860638:0.667784:0.895932:0.667784:0.895932:0.651286:0.860638:0.651286:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
denominan :@0.404245:0.684123:0.491131:0.684123:0.491131:0.667625:0.404245:0.667625:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sistemas sobredeterminados:@0.491131:0.684339:0.701218:0.684339:0.701218:0.667625:0.491131:0.667625:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.553358:0.684123:0.557500:0.684123:0.557500:0.667625:0.553358:0.667625:0.000000
.:@0.701218:0.684123:0.703973:0.684123:0.703973:0.667625:0.701218:0.667625:0.000000
La :@0.404245:0.716814:0.424261:0.716814:0.424261:0.700317:0.404245:0.700317:0.000000:0.000000:0.000000
tercera clase:@0.424666:0.717031:0.516619:0.717031:0.516619:0.700317:0.424666:0.700317:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 de sistemas de ecuaciones lineales está formada por :@0.516619:0.716814:0.895894:0.716814:0.895894:0.700317:0.516619:0.700317:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aquellos que :@0.404245:0.733153:0.500301:0.733153:0.500301:0.716655:0.404245:0.716655:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
no tienen solución:@0.502497:0.733370:0.644174:0.733370:0.644174:0.716655:0.502497:0.716655:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Estos sistemas se denominan :@0.644174:0.733153:0.869597:0.733153:0.869597:0.716655:0.644174:0.716655:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
in-:@0.871793:0.733370:0.891771:0.733370:0.891771:0.716655:0.871793:0.716655:0.000000:0.000000:0.000000
consistentes:@0.404245:0.749708:0.495408:0.749708:0.495408:0.732994:0.404245:0.732994:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.495408:0.749492:0.498163:0.749492:0.498163:0.732994:0.495408:0.732994:0.000000
Método de resolución por sustitución:@0.404235:0.784619:0.706556:0.784619:0.706556:0.766936:0.404235:0.766936:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Explicaremos este método en los siguientes ejemplos.:@0.404235:0.800320:0.783837:0.800320:0.783837:0.783823:0.404235:0.783823:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejercicio resuelto:@0.404235:0.833388:0.523621:0.833388:0.523621:0.816601:0.404235:0.816601:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Consideremos el sistema de ecuaciones lineales definido por :@0.404235:0.849351:0.837433:0.849351:0.837433:0.832853:0.404235:0.832853:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ,  ,  ) :@0.404235:0.865689:0.455364:0.865689:0.455364:0.849192:0.404235:0.849192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y z:@0.410130:0.865805:0.445385:0.865805:0.445385:0.849336:0.410130:0.849336:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.455307:0.865473:0.471355:0.865473:0.471355:0.850826:0.455307:0.850826:0.000000
 :@0.471294:0.865182:0.475692:0.865182:0.475692:0.851808:0.471294:0.851808:0.000000
:@0.475640:0.864731:0.489549:0.864731:0.489549:0.851285:0.475640:0.851285:0.000000
3:@0.489491:0.859348:0.494444:0.859348:0.494444:0.849730:0.489491:0.849730:0.000000
, y :@0.494409:0.865700:0.513270:0.865700:0.513270:0.849202:0.494409:0.849202:0.000000:0.000000:0.000000:0.000000
 2 +   –   = 5:@0.584686:0.886608:0.682188:0.886608:0.682188:0.870110:0.584686:0.870110:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x  y z:@0.594916:0.886723:0.654600:0.886723:0.654600:0.870255:0.594916:0.870255:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   + 2  + 2  = 3:@0.584686:0.903959:0.699469:0.903959:0.699469:0.887461:0.584686:0.887461:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.594897:0.904074:0.606514:0.904074:0.606514:0.887605:0.594897:0.887605:0.000000:0.000000
y:@0.629960:0.904074:0.637646:0.904074:0.637646:0.887605:0.629960:0.887605:0.000000
z:@0.665234:0.904074:0.671881:0.904074:0.671881:0.887605:0.665234:0.887605:0.000000
– +   +   = 0.:@0.584686:0.921309:0.685521:0.921309:0.685521:0.904812:0.584686:0.904812:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x  y z:@0.595186:0.921425:0.655178:0.921425:0.655178:0.904956:0.595186:0.904956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Saberes previos:@0.199644:0.100741:0.307803:0.100741:0.307803:0.085268:0.199644:0.085268:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué es un sistema de :@0.199880:0.129369:0.347619:0.129369:0.347619:0.114306:0.199880:0.114306:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuaciones lineales?:@0.153337:0.145211:0.281127:0.145211:0.281127:0.130148:0.153337:0.130148:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Desequilibrio cognitivo:@0.199644:0.192481:0.363492:0.192481:0.363492:0.177008:0.199644:0.177008:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué tipo de soluciones :@0.199880:0.221108:0.360440:0.221108:0.360440:0.206045:0.199880:0.206045:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
puede tener un sistema de tres :@0.153337:0.236950:0.356801:0.236950:0.356801:0.221887:0.153337:0.221887:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuaciones lineales con tres :@0.153337:0.252792:0.335410:0.252792:0.335410:0.237729:0.153337:0.237729:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
incógnitas?:@0.153337:0.268634:0.225279:0.268634:0.225279:0.253571:0.153337:0.253571:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Glosario:@0.199641:0.718619:0.267106:0.718619:0.267106:0.700937:0.199641:0.700937:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sistema de ecuaciones. :@0.199879:0.745432:0.355761:0.745432:0.355761:0.730171:0.199879:0.730171:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Conjunto de dos o más ecua-:@0.153336:0.761076:0.345294:0.761076:0.345294:0.746013:0.153336:0.746013:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ciones cuya solución es común :@0.153336:0.776918:0.358819:0.776918:0.358819:0.761855:0.153336:0.761855:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a todas ellas.:@0.153336:0.792760:0.234283:0.792760:0.234283:0.777697:0.153336:0.777697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.146907:0.722351:0.158311:0.720842:0.153109:0.698697:0.141704:0.700206:0.000000
c:@0.150289:0.733320:0.160888:0.731918:0.155805:0.710283:0.145206:0.711685:0.000000
b:@0.160664:0.726102:0.173377:0.724420:0.168246:0.702577:0.155532:0.704260:0.000000
Competencia :@0.199641:0.381340:0.297264:0.381340:0.297264:0.365868:0.199641:0.365868:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.199641:0.393908:0.283704:0.393908:0.283704:0.378436:0.199641:0.378436:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.199879:0.417498:0.212579:0.417498:0.212579:0.405221:0.199879:0.405221:0.000000
2:@0.212579:0.412583:0.217101:0.412583:0.217101:0.403802:0.212579:0.403802:0.000000
 =   × :@0.217102:0.418383:0.264665:0.418383:0.264665:0.403320:0.217102:0.403320:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.234534:0.417498:0.277365:0.417498:0.277365:0.405221:0.234534:0.405221:0.000000:0.000000:0.000000
 :@0.153338:0.433340:0.157736:0.433340:0.157736:0.421063:0.153338:0.421063:0.000000
  :@0.213654:0.433340:0.222449:0.433340:0.222449:0.421063:0.213654:0.421063:0.000000:0.000000
= {(:@0.222449:0.434225:0.246882:0.434225:0.246882:0.419162:0.222449:0.419162:0.000000:0.000000:0.000000:0.000000
x, y x y:@0.246882:0.434330:0.304823:0.434330:0.304823:0.419294:0.246882:0.419294:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
) |  ,      }.:@0.267110:0.434225:0.346898:0.434225:0.346898:0.419162:0.267110:0.419162:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.308598:0.433876:0.322553:0.433876:0.322553:0.421139:0.308598:0.421139:0.000000
:@0.326335:0.433340:0.339035:0.433340:0.339035:0.421063:0.326335:0.421063:0.000000
Los métodos analíticos de :@0.153337:0.457196:0.325172:0.457196:0.325172:0.442132:0.153337:0.442132:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resolución de sistemas de dos :@0.153337:0.473037:0.349515:0.473037:0.349515:0.457974:0.153337:0.457974:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuaciones lineales con dos in-:@0.153337:0.488879:0.352576:0.488879:0.352576:0.473816:0.153337:0.473816:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cógnitas que vamos a emplear :@0.153337:0.504721:0.354001:0.504721:0.354001:0.489658:0.153337:0.489658:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
son::@0.153337:0.520563:0.179318:0.520563:0.179318:0.505500:0.153337:0.505500:0.000000:0.000000:0.000000:0.000000
a):@0.153337:0.543732:0.166618:0.543732:0.166618:0.528471:0.153337:0.528471:0.000000:0.000000
 sustitución:@0.166618:0.543534:0.241006:0.543534:0.241006:0.528471:0.166618:0.528471:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b):@0.153337:0.559574:0.167955:0.559574:0.167955:0.544313:0.153337:0.544313:0.000000:0.000000
 eliminación gaussiana:@0.167955:0.559376:0.310485:0.559376:0.310485:0.544313:0.167955:0.544313:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Responde:@0.153337:0.582770:0.222290:0.582770:0.222290:0.567297:0.153337:0.567297:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
: ¿qué es un sistema :@0.222290:0.582347:0.352173:0.582347:0.352173:0.567284:0.222290:0.567284:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de ecuaciones lineales?:@0.153337:0.598189:0.301215:0.598189:0.301215:0.583126:0.153337:0.583126:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000