Solve by elimination 10x-5y=-25 - 2x+2y=0

( - 5, - 5)

Step-by-step explanation:

Given the 2 equations

10x - 5y = - 25 → (1)

- 2x + 2y = 0 → (2)

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

- 10x + 10y = 0 → (3)

Add (1) and (3) term by term

5y = - 25 (divide both sides by 5)

y = - 5

Substitute y = - 5 into either of the 2 equations and solve for x

Substituting in (1)

10x - 5 ( - 5) = - 25, that is

10x + 25 = - 25 (subtract 25 from both ides)

10x = - 50 (divide both sides by 10)

x = - 5

Solution is ( - 5, - 5)