Question

Which ordered pair is a solution to the system of linear equations? x + 4y = 6 y = −4x − 6 (−2, −2) (−2, 2) (2, 2) (2, −2)

Answer 1

(-2, 2)

Explanation:

x + 4y = 6

y = −4x − 6

Substitute the value in for the y

x + 4(-4x - 6) = 6

x - 16x - 24 = 6

-15x - 24 = 6

-15x = 30

x = -2

Now we substitute -2 into x and solve for y.

y = -4(-2) - 6

y = 8 - 6

y = 2

So, the answer is (-2, 2)