Question

x = y + 4
2x - 3y = -2


What is the solution to the system of equations?
Responses
A (6, 10)(6, 10)
B (9, 5)(9, 5)
C (10, 6)(10, 6)
D (10, 14)(10, 14)
E (14, 10)

Answer 1

Substitute x = y + 4 into 2x − 3y = −2:

2(y + 4) − 3y = −2
2y + 8 − 3y = −2
−y + 8 = −2 → −y = −10 → y = 10
Then x = y + 4 = 14.

Solution: (14, 10). Answer: E.