Answer:
x = 2 , y = - 1
Explanation:
2x + 6y = - 2 → (1)
- 6x - 8y = - 4 → (2)
multiplying (1) by 3 and adding to (2) will eliminate x
6x + 18y = - 6 → (3)
add (2) and (3) term by term to eliminate x
(- 6x + 6x) + (- 8y + 18y) = - 4 - 6
0 + 10y = - 10
10y = - 10 ( divide both sides by 10 )
y = - 1
substitute y = - 1 into either of the 2 equations and solve for x
substituting into (1)
2x + 6(- 1) = - 2
2x - 6 = - 2 ( add 6 to both sides )
2x = 4 ( divide both sides by 2 )
x = 2