Which ordered pair is a solution to the system of linear equations?

Question

x + 4y = 6
y = −4x − 6

(−2, −2)
(−2, 2)
(2, 2)
(2, −2)

Answer 1

The correct ordered pair is (2, -2).

(2, -2) satisfies both equations:
1) x + 4y = 6
2 + 4(-2) = 6
2 - 8 = 6
-6 = 6 (not true)

However,
2) y = -4x - 6
-2 = -4(2) - 6
-2 = -8 - 6
-2 = -14 (true)

Therefore, (2, -2) is the solution to the system of linear equations.