x = y + 4 2x - 3y = - 2 What is the solution to the system of equations? A) (6, 10) B) (9, 5) C) (10, 6) D) (14, 10)

D

Step-by-step explanation:

Given the 2 equations

x = y + 4 → (1)

2x - 3y = - 2 → (2)

Substitute x = y + 4 into (2)

2 (y + 4) - 3y = - 2 ← distribute and simplify left side

2y + 8 - 3y = - 2

- y + 8 = - 2 (subtract 8 from both sides)

- y = - 10 (multiply both sides by - 1)

y = 10

Substitute y = 10 into (1) for corresponding value of x

x = 10 + 4 = 14

Solution is (14, 10) → D