Solve using elimination. - 7x + 5y = 13 2x - 5y = 7

(x, y) → ( - 4, - 3)

given the 2 equations

- 7x + 5y = 13 → (1)

2x - 5y = 7 → (2)

Adding the equations will eliminate the term in y

(1) + (2) term by term gives

( - 7x + 2x) + (5y - 5y) = (13 + 7)

- 5x = 20 (divide both sides by - 5)

x = - 4

substitute into either of the 2 equations and solve for y

(2) → - 8 - 5y = 7 (add 8 to both sides)

- 5y = 15 (divide both sides by - 5)

y = - 3

solution is (x, y) → ( - 4, - 3)