Answer:
(- 10, - 4 )
Step-by-step explanation:
Given the 2 equations
- 2x + 2y = 12 → (1)
- 2x + 8y = - 12 → (2)
Multiply (2) by - 1
2x - 8y = 12 → (3)
Add (1) and (3) term by term to eliminate the x- term, that is
- 6y = 24 ( divide both sides by - 6 )
y = - 4
Substitute y = - 4 into either of the 2 equations and solve for x
Substituting into (1)
- 2x + 2(- 4) = 12
- 2x - 8 = 12 ( add 8 to both sides )
- 2x = 20 ( divide both sides by - 2 )
x = - 10
solution is (- 10, - 4 )
