Question

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

{2x+y=−8x−y=−4{2x+y=−8x−y=−4



(1, 5)(1, 5)

(−3, −2)(−3, −2)

(−1, 3)(−1, 3)

(−4, 0)

Answer 1

The ordered pair that is a solution to a system of equations would be the point of intersection of these equations. There are a lot of method to determine this pair. We can graph it or solve it manually. One method is as follows:

x−y=−4
y = x +4

2x+y=−8
2x+ (x+4) = -8
3x + 4 = -8
3x = -12
x = -4

y = x + 4
y = -4 +4
y = 0

Therefore, the ordered pair would be (-4,0). Hope this answers the question.