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Solve the system of equations.2𝑥+3𝑦=8−2𝑦=−4Group of answer choices(1,2)(−1,−2)(−1,2)(1,−2)

Question

Solve the system of equations.2𝑥+3𝑦=8−2𝑦=−4Group of answer choices(1,2)(−1,−2)(−1,2)(1,−2)

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Solution

Claro, vamos a resolver el sistema de ecuaciones paso a paso.

Primero, escribimos el sistema de ecuaciones:

  1. 2x+3y=8 2x + 3y = 8
  2. 2y=4 -2y = -4

Resolvemos la segunda ecuación para y y :

2y=4 -2y = -4

Dividimos ambos lados por -2:

y=2 y = 2

Ahora que tenemos el valor de y y , lo sustituimos en la primera ecuación:

2x+3(2)=8 2x + 3(2) = 8

Simplificamos:

2x+6=8 2x + 6 = 8

Restamos 6 de ambos lados:

2x=2 2x = 2

Dividimos ambos lados por 2:

x=1 x = 1

Por lo tanto, la solución del sistema de ecuaciones es (x,y)=(1,2) (x, y) = (1, 2) .

La respuesta correcta es: (1, 2).

This problem has been solved

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