Question

Solve the following system of equations.



2x + y = 2

3x - 2y = -11


(1, 4)


(9, 5)


(-3, 1)


(-1, 4)

Answer 1

From 2x + y = 2, y = 2 − 2x. Substitute into 3x − 2y = −11:
3x − 2(2 − 2x) = −11 → 3x − 4 + 4x = −11 → 7x = −7 → x = −1.
Then y = 2 − 2(−1) = 4.
Solution: (−1, 4).