Consider the system of equations.

5x + 2y = 12
5x – 2y = 28

What is the solution to the system of equations? Show work using substitution or elimination to support your answer.

A (4, -4)

B (-4, 4)

C (5, -6.5)

D (4, 16)

Respuesta :

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Answer:

A. (4, -4)

Step-by-step explanation:

Equation form x = 4, y = −4

Answer:

Option A

Step-by-step explanation:

5x + 2 y = 12 -----------(I)

5x - 2y = 28 ------------(II)

Add equation (I) & (II). So, y will be eliminated and we will get the value of x

(I)     5x + 2y = 12

(II)     5x -2y  = 28    {Now add}

         10x      =  40

                  x = 40/10

x = 4

Plugin x = 4 in equation (I)

5*4 + 2y = 12

20 + 2y = 12

        2y = 12 - 20

        2y = -8

          y = -8/2

y = -4