5x-4y=-10 - 4x+5y=8

I need to know what x and y equal

x = 6, y = 0

Step-by-step explanation:

Given the 2 equations

5x - 4y = - 10 → (1) * 4

- 4x + 5y = 8 → (2) * 5

Multiplying (1) by 4 and (2) by 5 and adding will eliminate the term in x

20x - 16y = - 40 → (3)

- 20x + 25y = 40 → (4)

Add (3) and (4) term by term

9y = 0 ⇒ y = 0

Substitute y = 0 in either of the 2 equations and evaluate for x

Substituting y = 0 in (1)

5x - 4 (0) = - 10, that is

5x = - 10 (divide both sides by 5)

x = - 2