La solución de un sistema de ecuaciones lineales: evaluación formativa 2

Métodos para hallar la solución de un sistema de ecuaciones lineales
Existen [b]métodos para hallar las soluciones de un sistema de ecuaciones lineales[/b] (suponiendo que ésta existe), los cuales [b]se basan en hallar un sistema de ecuaciones lineales equivalente[/b] (es decir, que tenga las mismas soluciones que el original), [b]cuyas soluciones sean más fáciles de hallar[/b].[br][br]La forma de hallar dichos sistemas equivalentes consiste esencialmente de 3 pasos:[br][list][*][b]Reducir [/b]una de las ecuaciones del sistema para que sólo tenga una incógnita. La forma de hacer la reducción es lo que dará nombre al método; a saber:[/*][*] [i]Sustitución.[/i][/*][*][i] Igualación.[/i][/*][*][i] Eliminación[/i] (a veces llamado [i]suma y resta[/i]).[/*][*][b]Hallar [/b]el valor de una de las incógnitas.[/*][*][b]Usar el valor de la primera incógnita para hallar [/b]el valor de la segunda incógnita.[/*][/list]
Sustitución (pautas)
[list=1][*]Resuelve una de las ecuaciones para cualquiera de las variables.[/*][*]Sustituye esa variable en la otra ecuación. El resultado debería ser una ecuación con solo en la variable.[/*][*]Resuelve la ecuación del paso 2.[/*][*]Encuentre el otro valor sustituyendo el valor obtenido en el paso 3 en la ecuación del paso 1.[/*][*]Verifique que los valores obtenidos sean efectivamente solución del sistema.[/*][/list]
Sustitución (ejemplo)
Use el método de sustitución para hallar las soluciones del sistema de ecuaciones lineales a continuación:[br][math]\begin{matrix}3x+7=y\\-2x+5y=22\end{matrix}[/math].[br][br][b]Solución:[/b] Dado que la primera de las ecuaciones expresa a [math]y[/math] en términos de [math]x[/math], entonces la usaremos para sustituir en la segunda ecuación (si no hubiera sido así, entonces habría necesidad de despejar a una de las dos incógnitas de cualquiera de las dos ecuaciones):[br][center][img]data:image/png;base64,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[/img][/center][center][/center]
Eliminación (pautas)
[list=1][*]Determine la variable a eliminar.[/*][*]Multiplique ambas ecuaciones (si es necesario) para que los coeficientes de la variable a ser eliminada sean opuestos.[/*][*]Sume las nuevas ecuaciones.[/*][*]Resuelva la nueva ecuación para la segunda incógnita.[/*][*]Halle el valor de la primera incógnita.[/*][/list]
Eliminación (ejemplo)
Use el método de eliminación para hallar la solución del sistema de ecuaciones lineales a 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[/img][/center][b]Solución:[/b] Será necesario multiplicar los coeficientes de las ecuaciones del sistema para hallar un sistema equivalente, cuyos coeficientes sean opuestos. Para lograrlo es conveniente calcular el mínimo común múltiplo de los coeficientes de la incógnita a eliminar, para después hallar los cocientes. Por ejemplo, si decidimos eliminar [math]x[/math], entonces nos valdremos de que[br][math]mcm(3,6)=6[/math],[br]y de que[br][math]6=6(1)[/math],[br][math]6=3(2)[/math].[br]Lo anterior quiere decir que multiplicaremos todos los coeficientes de la primer ecuación por [math]1[/math], mientras que a los coeficientes de la segunda los multiplicaremos por [math]-2[/math] (pues es necesario que los signos sean opuestos para que se pueda eliminar):[br][center][img]data:image/png;base64,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[/img][/center][br]Por su parte, si la incógnita que se hubiera eliminado fuera y, entonces se tendría que hacer uso de que:[br][math]mcm(7,5)=35[/math],[br]y de que[br][math]35=7(5)[/math],[br][math]35=5(7)[/math],[br]por lo que a los coeficientes de la primer ecuación habría que multiplicarlos por [math]-5[/math] (para que los signos sean opuestos) y a los de la segunda por [math]7[/math]:[br][center][img]data:image/png;base64,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[/img][br][br][/center]Así pues, la solución del sistema es [math](x,y)=(-9,-8)[/math].[br]
Evaluación formativa
Utilice la siguiente hoja dinámica para practicar cómo hallar la solución de un sistema de ecuaciones lineales.

Information: La solución de un sistema de ecuaciones lineales: evaluación formativa 2