2x - 3y = 13 x + 2y = - 4

(2, - 3)

Step-by-step explanation:

Given the 2 equations

2x - 3y = 13 → (1)

x + 2y = - 4 → (2)

Rearrange (2) expressing x in terms of y by subtracting 2y from both sides

x = - 4 - 2y → (3)

Substitute x = - 4 - 2y into (1)

2 ( - 4 - 2y) - 3y = 13 ← distribute and simplify left side

- 8 - 4y - 3y = 13

- 8 - 7y = 13 (add 8 to both sides)

- 7y = 21 (divide both sides by - 7)

y = - 3

Substitute y = - 3 into (3) for corresponding value of x

x = - 4 - 2 ( - 3) = - 4 + 6 = 2

Solution is (2, - 3)