X-2y = - 4 and y = - x + 2 solve the system of equations

(0, 2)

Step-by-step explanation:

Given the 2 equations

x - 2y = - 4 → (1)

y = - x + 2 → (2)

Substitute y = - x + 2 into (1)

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

x + 2x - 4 = - 4

3x - 4 = - 4 (add 4 to both sides)

3x = 0 ⇒ x = 0

Substitute x = 0 into (2)

y = 0 + 2 = 2

Solution is (0, 2)