Question

2
Select the correct answer.
What is the solution to this system of equations?
x = 12 − y
2x + 3y = 29
A.
x = 8, y = 4
B.
x = 6, y = 6
C.
x = 7, y = 5
D.
x = 9, y = 3

Answer 1

Substitute x = 12 − y into 2x + 3y = 29:
2(12 − y) + 3y = 29 → 24 − 2y + 3y = 29 → 24 + y = 29 → y = 5.
Then x = 12 − 5 = 7.
Answer: C (x = 7, y = 5).