Question

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

x + 2y = 3
y = −2x − 3

A. (−3, −3)
B. (3, 3)
C. (3, −3)
D. (−3, 3)

Answer 1

D. (−3, 3)

Explanation:

x + 2y = 3

y = −2x − 3

We subtitude in for y

x + 2(-2x - 3) = 3

x - 4x - 6 = 3

-3x - 6 = 3

-3x = 9

x = -3

Now we put -3 in for x and solve for y

-3 + 2y = 3

2y = 6

y = 3

So, the answer is D. (−3, 3)