Question

Use elimination and back substitution to solve for x and y in the system of linear equations below.

Answer 1

(-2,-8)

Explanation:

6x + 7y = -68

-2x + 7y = -52

Time the first equation by -1

-6x - 7y = 68

-2x + 7y = -52

-8x = 16

x = -2

Now put -2 in for x and solve for y

6(-2) + 7y = -68

-12 + 7y = -68

7y = -56

y = -8

Let's Check

6(-2) + 7(-8) = -68

-12 - 56 = -68

-68 = -68

So, (-2, -8) is the correct answer.