Answer:
x =
, y = - 1
Explanation:
given the equations
8x + 4y = - 2 ( divide through by 2 )
4x + 2y = - 1 ( subtract 2y from both sides )
4x = - 1 - 2y → (1)
- 12x + 5y = - 8 → (2)
substitute 4x = - 1 - 2y into (2) , noting - 12x = - 3(4x)
- 3(- 1 - 2y) + 5y = - 8 ← distribute parenthesis on left side and simplify
3 + 6y + 5y = - 8
3 + 11y = - 8 ( subtract 3 from both sides )
11y = - 11 ( divide both sides by 11 )
y = - 1
substitute y = - 1 into (1) and solve for x
4x = - 1 - 2(- 1) = - 1 + 2 = 1 ( divide both sides by 4 )
x =

solution is x =
, y = - 1