Question

Solve the system by elimination.
-8X – 10y = 20
-8x – 6y = -4

Answer 1

(5, - 6 )

Explanation:

Given the 2 equations

- 8x - 10y = 20 → (1)

- 8x - 6y = - 4 → (2)

Multiply (2) by - 1

8x + 6y = 4 → (3)

Add (1) and (3) term by term to eliminate the x- term, that is

- 4y = 24 ( divide both sides by - 4 )

y = - 6

Substitute y = - 6 into either of the 2 equations and solve for x

Substituting into (1)

- 8x - 10(- 6) = 20

- 8x + 60 = 20 ( subtract 60 from both sides )

- 8x = - 40 ( divide both sides by - 8 )

x = 5

solution is (5, - 6 )