Question

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

2x+y=-8
x−y=−4

1. (1, 5)

2. (−1, 3)

3. (−4, 0)

4. (−3, −2)

Answer 1

Answer: #3. (-4,0)

Explanation:

Add the two equations

2x + y = -8

x - y = -4. The y's cancel

3x +0 = -12. Divide both sides by 3

x = -4 Substitute for x in the first equation and solve for y.

2(-4) + y = -8

-8 + y = -8

y = 0

Solution: (-4,0)