Question

I’m supposed to solve this by eliminating the x variable

Answer 1

Answer:

the answer is (-4, 5)

Step-by-step explanation:

Let's use elimination by addition / subtraction:

-6x - 2y =  14

6x + 7y = 11

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        5y   = 25, so y = 5.

Substituting 5 for y in the 2nd equation, we get:

6x + 7(5) = 11, or:

6x + 35 = 11, or

6x = -24, or x = -4.

Thus, the answer is (-4, 5).  Please double check to ensure you have copied down both system of equations and answer correctly.

Check:  Is (-4, 5) a solution to this system?

Subst. -4 for x and 5 for y in the first equation:

            -3(-4) - (5) = 7

               12 - 5 = 7  YES