21:@0.922460:0.966765:0.939432:0.966765:0.939432:0.950778:0.922460:0.950778:0.000000:0.000000 Competencia digital:@0.684804:0.673894:0.827156:0.673894:0.827156:0.658421:0.684804:0.658421:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Para ampliar más sobre :@0.685042:0.702521:0.838952:0.702521:0.838952:0.687458:0.685042:0.687458:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 el tema de resolución de siste-:@0.638498:0.718363:0.834061:0.718363:0.834061:0.703300:0.638498:0.703300:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 mas de ecuaciones lineales :@0.638498:0.734205:0.819021:0.734205:0.819021:0.719142:0.638498:0.719142:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 con dos ecuaciones de dos :@0.638498:0.750047:0.816930:0.750047:0.816930:0.734984:0.638498:0.734984:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 incógnitas,:@0.638498:0.765889:0.707977:0.765889:0.707977:0.750826:0.638498:0.750826:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ingresa:@0.707979:0.766312:0.761927:0.766312:0.761927:0.750839:0.707979:0.750839:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 al siguiente :@0.761927:0.765889:0.841399:0.765889:0.841399:0.750826:0.761927:0.750826:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 enlace y :@0.638498:0.781731:0.694347:0.781731:0.694347:0.766668:0.638498:0.766668:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 mira :@0.694347:0.782154:0.730932:0.782154:0.730932:0.766681:0.694347:0.766681:0.000000:0.000000:0.000000:0.000000:0.000000 el video.:@0.730932:0.781731:0.783700:0.781731:0.783700:0.766668:0.730932:0.766668:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 lynk.ec/11m01:@0.638498:0.805032:0.736387:0.805032:0.736387:0.789718:0.638498:0.789718:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ejercicio resuelto:@0.108231:0.096570:0.226209:0.096570:0.226209:0.079783:0.108231:0.079783:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Determinamos la solución en del sistema de ecuaciones por el mé-:@0.108231:0.113545:0.595772:0.113545:0.595772:0.097047:0.108231:0.097047:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 R:@0.316584:0.112576:0.330494:0.112576:0.330494:0.099129:0.316584:0.099129:0.000000 2:@0.330221:0.107193:0.335174:0.107193:0.335174:0.097575:0.330221:0.097575:0.000000 todo gráfico.:@0.108226:0.130896:0.195286:0.130896:0.195286:0.114398:0.108226:0.114398:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5 – 4 = 32:@0.127222:0.155375:0.214243:0.155375:0.214243:0.138877:0.127222:0.138877:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.135718:0.155490:0.143193:0.155490:0.143193:0.139022:0.135718:0.139022:0.000000 y:@0.170472:0.155490:0.178159:0.155490:0.178159:0.139022:0.170472:0.139022:0.000000 7 = 28:@0.127222:0.179854:0.214628:0.179854:0.214628:0.163356:0.127222:0.163356:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.135718:0.179969:0.143193:0.179969:0.143193:0.163501:0.135718:0.163501:0.000000 Graficamos las rectas : 5 – 4 = 32; : 7 = 28.:@0.108226:0.207268:0.450785:0.207263:0.450785:0.190765:0.108226:0.190770:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 L:@0.262676:0.207384:0.270517:0.207384:0.270517:0.190915:0.262676:0.190915:0.000000 1:@0.270519:0.210541:0.275472:0.210541:0.275472:0.200923:0.270519:0.200923:0.000000 x:@0.290865:0.207379:0.298340:0.207379:0.298340:0.190910:0.290865:0.190910:0.000000 y:@0.325620:0.207379:0.333307:0.207379:0.333307:0.190910:0.325620:0.190910:0.000000 L:@0.376287:0.207379:0.384128:0.207379:0.384128:0.190910:0.376287:0.190910:0.000000 2:@0.384125:0.210541:0.389078:0.210541:0.389078:0.200923:0.384125:0.200923:0.000000 x:@0.404472:0.207379:0.411946:0.207379:0.411946:0.190910:0.404472:0.190910:0.000000 Resolvamos el ejercicio por el método de sustitución. De la primera :@0.108231:0.643510:0.599954:0.643510:0.599954:0.627012:0.108231:0.627012:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ecuación, elegimos la incógnita y despejamos; obtenemos::@0.108231:0.660861:0.532176:0.660861:0.532176:0.644363:0.108231:0.644363:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.332920:0.660976:0.340395:0.660976:0.340395:0.644508:0.332920:0.644508:0.000000 x:@0.299150:0.695678:0.306625:0.695678:0.306625:0.679209:0.299150:0.679209:0.000000 = (1 + 2 ).:@0.306625:0.695562:0.404858:0.695562:0.404858:0.679064:0.306625:0.679064:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.388463:0.695678:0.396150:0.695678:0.396150:0.679209:0.388463:0.679209:0.000000 Reemplazamos en la segunda ecuación; obtenemos::@0.108231:0.730264:0.489157:0.730264:0.489157:0.713766:0.108231:0.713766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.220680:0.730379:0.228155:0.730379:0.228155:0.713911:0.220680:0.713911:0.000000 5 (1 + 2 ) + 7 = 5.:@0.268460:0.764965:0.435528:0.764965:0.435528:0.748468:0.268460:0.748468:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.347987:0.765081:0.355674:0.765081:0.355674:0.748612:0.347987:0.748612:0.000000 y:@0.397499:0.765081:0.405186:0.765081:0.405186:0.748612:0.397499:0.748612:0.000000 Esta última es una ecuación de primer grado con una incógnita (la :@0.108231:0.799667:0.599838:0.799667:0.599838:0.783169:0.108231:0.783169:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 incógnita ). Resolvamos esta última. Por la propiedad distributiva, :@0.108231:0.817017:0.599932:0.817017:0.599932:0.800520:0.108231:0.800520:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.181266:0.817133:0.188952:0.817133:0.188952:0.800664:0.181266:0.800664:0.000000 se obtiene::@0.108231:0.834368:0.184288:0.834368:0.184288:0.817871:0.108231:0.817871:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 + + 7 = 5.:@0.291309:0.860770:0.412699:0.860770:0.412699:0.844273:0.291309:0.844273:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.339395:0.860886:0.347082:0.860886:0.347082:0.844417:0.339395:0.844417:0.000000 y:@0.374670:0.860886:0.382356:0.860886:0.382356:0.844417:0.374670:0.844417:0.000000 Por la propiedad distributiva y cancelativa, se deduce que::@0.108231:0.895472:0.517072:0.895472:0.517072:0.878974:0.108231:0.878974:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 + 7 = 5 – = = .:@0.201090:0.930173:0.502901:0.930175:0.502901:0.913677:0.201090:0.913676:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.232819:0.930289:0.240506:0.930289:0.240506:0.913820:0.232819:0.913820:0.000000 y:@0.354310:0.930291:0.361997:0.930291:0.361997:0.913822:0.354310:0.913822:0.000000 y:@0.440231:0.930291:0.447918:0.930291:0.447918:0.913822:0.440231:0.913822:0.000000 1:@0.332806:0.688174:0.341302:0.688174:0.341302:0.671677:0.332806:0.671677:0.000000 3:@0.332806:0.704513:0.341302:0.704513:0.341302:0.688015:0.332806:0.688015:0.000000 1:@0.289723:0.757582:0.298219:0.757582:0.298219:0.741085:0.289723:0.741085:0.000000 3:@0.289723:0.773921:0.298219:0.773921:0.298219:0.757423:0.289723:0.757423:0.000000 5:@0.280925:0.853474:0.289421:0.853474:0.289421:0.836976:0.280925:0.836976:0.000000 3:@0.280925:0.869813:0.289421:0.869813:0.289421:0.853315:0.280925:0.853315:0.000000 10:@0.313805:0.853474:0.330990:0.853474:0.330990:0.836976:0.313805:0.836976:0.000000:0.000000 3:@0.318140:0.869813:0.326636:0.869813:0.326636:0.853315:0.318140:0.853315:0.000000 5:@0.290303:0.922862:0.298799:0.922862:0.298799:0.906364:0.290303:0.906364:0.000000 3:@0.290303:0.939200:0.298799:0.939200:0.298799:0.922703:0.290303:0.922703:0.000000 31:@0.338565:0.922862:0.355750:0.922862:0.355750:0.906364:0.338565:0.906364:0.000000:0.000000 3:@0.342900:0.939200:0.351396:0.939200:0.351396:0.922703:0.342900:0.922703:0.000000 10:@0.173534:0.922862:0.190719:0.922862:0.190719:0.906364:0.173534:0.906364:0.000000:0.000000 3:@0.177869:0.939200:0.186365:0.939200:0.186365:0.922703:0.177869:0.922703:0.000000 10:@0.389574:0.922790:0.406759:0.922790:0.406759:0.906293:0.389574:0.906293:0.000000:0.000000 3:@0.393909:0.939129:0.402405:0.939129:0.402405:0.922631:0.393909:0.922631:0.000000 10:@0.473085:0.922862:0.490270:0.922862:0.490270:0.906364:0.473085:0.906364:0.000000:0.000000 31:@0.473085:0.939200:0.490270:0.939200:0.490270:0.922703:0.473085:0.922703:0.000000:0.000000 Las rectas y se cortan en un solo punto. La solución es::@0.108231:0.402143:0.529135:0.402143:0.529135:0.385646:0.108231:0.385646:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 L:@0.181398:0.402259:0.189239:0.402259:0.189239:0.385790:0.181398:0.385790:0.000000 1:@0.189239:0.405420:0.194192:0.405420:0.194192:0.395802:0.189239:0.395802:0.000000 L:@0.210299:0.402259:0.218140:0.402259:0.218140:0.385790:0.210299:0.385790:0.000000 2:@0.218139:0.405420:0.223092:0.405420:0.223092:0.395802:0.218139:0.395802:0.000000 S = (4, –3)} = 4 = –3:@0.108233:0.436845:0.309671:0.436845:0.309671:0.420347:0.108233:0.420347:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.212265:0.436961:0.219740:0.436961:0.219740:0.420492:0.212265:0.420492:0.000000 y:@0.263896:0.436961:0.271583:0.436961:0.271583:0.420492:0.263896:0.420492:0.000000 Para la resolución de dos ecuaciones lineales con dos incógnitas, :@0.108233:0.471546:0.599911:0.471546:0.599911:0.455049:0.108233:0.455049:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.595760:0.471546:0.599902:0.471546:0.599902:0.455049:0.595760:0.455049:0.000000 emplearemos los siguientes métodos: resolución por sustitución, :@0.108233:0.488897:0.599938:0.488897:0.599938:0.472399:0.108233:0.472399:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.595760:0.488897:0.599902:0.488897:0.599902:0.472399:0.595760:0.472399:0.000000 resolución por igualación y resolución por eliminación.:@0.108233:0.506248:0.496499:0.506248:0.496499:0.489750:0.108233:0.489750:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Método de resolución por sustitución:@0.108231:0.542347:0.410552:0.542347:0.410552:0.524664:0.108231:0.524664:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ejercicio resuelto:@0.108231:0.559430:0.226209:0.559430:0.226209:0.542644:0.108231:0.542644:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Consideremos el sistema de ecuaciones definido por ( , ) :@0.108231:0.576405:0.571060:0.576405:0.571060:0.559908:0.108231:0.559908:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x y:@0.512526:0.576521:0.537673:0.576521:0.537673:0.560052:0.512526:0.560052:0.000000:0.000000:0.000000 :@0.550870:0.576188:0.566918:0.576188:0.566918:0.561541:0.550870:0.561541:0.000000 R:@0.574161:0.575436:0.588070:0.575436:0.588070:0.561990:0.574161:0.561990:0.000000 2:@0.588057:0.570053:0.593010:0.570053:0.593010:0.560435:0.588057:0.560435:0.000000 , :@0.593011:0.576405:0.599908:0.576405:0.599908:0.559908:0.593011:0.559908:0.000000:0.000000 :@0.595765:0.576405:0.599908:0.576405:0.599908:0.559908:0.595765:0.559908:0.000000 tal que::@0.108239:0.593756:0.160140:0.593756:0.160140:0.577258:0.108239:0.577258:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3 – 2 = 1,:@0.179829:0.593535:0.261110:0.593535:0.261110:0.577037:0.179829:0.577037:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.188325:0.593650:0.195800:0.593650:0.195800:0.577182:0.188325:0.577182:0.000000 y:@0.223080:0.593650:0.230767:0.593650:0.230767:0.577182:0.223080:0.577182:0.000000 5 + 7 = 5.:@0.179829:0.618014:0.261418:0.618014:0.261418:0.601516:0.179829:0.601516:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.188325:0.618129:0.195800:0.618129:0.195800:0.601661:0.188325:0.601661:0.000000 y:@0.223388:0.618129:0.231075:0.618129:0.231075:0.601661:0.223388:0.601661:0.000000 Shutterstock, 71836375:@0.869050:0.453668:0.869050:0.388822:0.857581:0.388822:0.857581:0.453668:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Interdisciplinariedad:@0.684804:0.105912:0.831589:0.105912:0.831589:0.090440:0.684804:0.090440:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Matemática y Química:@0.676493:0.134962:0.836701:0.134962:0.836701:0.119489:0.676493:0.119489:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Una de las aplicaciones de los :@0.638498:0.157510:0.834414:0.157510:0.834414:0.142447:0.638498:0.142447:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 sistemas de ecuaciones lineales :@0.638498:0.173352:0.842470:0.173352:0.842470:0.158289:0.638498:0.158289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 se da en el balanceo de reaccio-:@0.638498:0.189194:0.843084:0.189194:0.843084:0.174131:0.638498:0.174131:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 nes químicas, el cual consiste en :@0.638498:0.205036:0.849032:0.205036:0.849032:0.189973:0.638498:0.189973:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 determinar el número entero de :@0.638498:0.220878:0.850423:0.220878:0.850423:0.205815:0.638498:0.205815:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 moléculas que intervienen en :@0.638498:0.236720:0.833482:0.236720:0.833482:0.221657:0.638498:0.221657:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 una reacción, cuidando siempre :@0.638498:0.252562:0.848363:0.252562:0.848363:0.237499:0.638498:0.237499:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 de que el número de átomos de :@0.638498:0.268404:0.850474:0.268404:0.850474:0.253341:0.638498:0.253341:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cada sustancia se preserve.:@0.638498:0.284246:0.810701:0.284246:0.810701:0.269183:0.638498:0.269183:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 p:@0.638503:0.470752:0.649984:0.470752:0.649984:0.460728:0.638503:0.460728:0.000000 :@0.649984:0.471460:0.652865:0.471460:0.652865:0.459984:0.649984:0.459984:0.000000 Experimento de vapor a líquido en :@0.652865:0.471460:0.827382:0.471460:0.827382:0.459984:0.652865:0.459984:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 laboratorio:@0.638498:0.483530:0.693419:0.483530:0.693419:0.472054:0.638498:0.472054:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Indaga haz:@0.638503:0.510856:0.725361:0.510856:0.725361:0.495384:0.638503:0.495384:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y :@0.686135:0.510433:0.700841:0.510433:0.700841:0.495370:0.686135:0.495370:0.000000:0.000000:0.000000 un resumen acer-:@0.725363:0.510433:0.841686:0.510433:0.841686:0.495370:0.725363:0.495370:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ca de otras aplicaciones de los :@0.638503:0.526275:0.837726:0.526275:0.837726:0.511212:0.638503:0.511212:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 sistemas de ecuaciones lineales :@0.638503:0.542117:0.842476:0.542117:0.842476:0.527054:0.638503:0.527054:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 en la vida cotidiana.:@0.638503:0.557959:0.766276:0.557959:0.766276:0.542896:0.638503:0.542896:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.142825:0.225621:0.149175:0.225621:0.149175:0.212016:0.142825:0.212016:0.000000 x:@0.577221:0.292040:0.583396:0.292040:0.583396:0.278436:0.577221:0.278436:0.000000 0:@0.146058:0.298263:0.153077:0.298263:0.153077:0.284635:0.146058:0.284635:0.000000 1:@0.176837:0.301428:0.183856:0.301428:0.183856:0.287800:0.176837:0.287800:0.000000 1:@0.142000:0.274243:0.149018:0.274243:0.149018:0.260615:0.142000:0.260615:0.000000 –1:@0.133629:0.309885:0.149321:0.309885:0.149321:0.296257:0.133629:0.296257:0.000000:0.000000 –2:@0.133629:0.327706:0.149321:0.327706:0.149321:0.314078:0.133629:0.314078:0.000000:0.000000 –3:@0.133629:0.345527:0.149321:0.345527:0.149321:0.331899:0.133629:0.331899:0.000000:0.000000 –4:@0.133629:0.363348:0.149321:0.363348:0.149321:0.349720:0.133629:0.349720:0.000000:0.000000 2:@0.142000:0.256422:0.149018:0.256422:0.149018:0.242794:0.142000:0.242794:0.000000 3:@0.142000:0.238601:0.149018:0.238601:0.149018:0.224973:0.142000:0.224973:0.000000 2:@0.200582:0.301428:0.207601:0.301428:0.207601:0.287800:0.200582:0.287800:0.000000 3:@0.224327:0.301428:0.231346:0.301428:0.231346:0.287800:0.224327:0.287800:0.000000 5:@0.271817:0.301428:0.278835:0.301428:0.278835:0.287800:0.271817:0.287800:0.000000 6:@0.295562:0.301428:0.302580:0.301428:0.302580:0.287800:0.295562:0.287800:0.000000 7:@0.319307:0.301428:0.326325:0.301428:0.326325:0.287800:0.319307:0.287800:0.000000 8:@0.343051:0.301428:0.350070:0.301428:0.350070:0.287800:0.343051:0.287800:0.000000 9 10 11 12 13 14 15 16:@0.366796:0.301428:0.543530:0.301428:0.543530:0.287800:0.366796:0.287800:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.262154:0.238751:0.268329:0.238751:0.268329:0.225146:0.262154:0.225146:0.000000 = 4:@0.268329:0.238655:0.291119:0.238655:0.291119:0.225027:0.268329:0.225027:0.000000:0.000000:0.000000:0.000000 5 – 4 = 32:@0.356736:0.261959:0.428623:0.261959:0.428623:0.248330:0.356736:0.248330:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.363754:0.262054:0.369929:0.262054:0.369929:0.248450:0.363754:0.248450:0.000000 y:@0.392464:0.262054:0.398814:0.262054:0.398814:0.248450:0.392464:0.248450:0.000000 A:@0.258876:0.354217:0.268186:0.354217:0.268186:0.340612:0.258876:0.340612:0.000000 = (4, –3):@0.268186:0.354121:0.318779:0.354121:0.318779:0.340493:0.268186:0.340493:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 p:@0.531998:0.386831:0.543479:0.386831:0.543479:0.376807:0.531998:0.376807:0.000000 :@0.543479:0.387539:0.546360:0.387539:0.546360:0.376062:0.543479:0.376062:0.000000 Figura 1.7.:@0.546360:0.387539:0.594929:0.387539:0.594929:0.376062:0.546360:0.376062:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 4:@0.248070:0.301423:0.255089:0.301423:0.255089:0.287795:0.248070:0.287795:0.000000 ©:@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