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natali 33 [55]
3 years ago
5

: Resolver el sistema de ecuaciones por el método de reducción. -x + 3y = 6 x + y = 2

Mathematics
1 answer:
Digiron [165]3 years ago
6 0

Answer:

x=0\\y=2

Step-by-step explanation:

El método de reducción también llamado Suma y Resta, consiste en multiplicar una o ambas ecuaciones de tal manera que los coeficientes de una de las incógnitas sean iguales y de signo contrario, de tal forma que se eliminen al sumar las ecuaciones.

Nuestras ecuaciones son:

-x+3y=6\\x+y=2

En este caso podemos observar que x y -x son iguales y de signo contrario así que no tendremos que multiplicar y podemos sumar ambas ecuaciones.

Al sumarlas tenemos que:

4y=8\\y=2

Ahora sustituímos el valor que encontramos de y en la segunda ecuación para poder obtener el valor de x.

x+y=2\\x+2=2\\x=2-2\\x=0

Por lo tanto, x = 0 y y = 2

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