Answer:
(2, - 2 )
Explanation:
Given the 2 equations
- 3x - 4y = 2 → (1)
x + 2y = - 2 → (2)
Rearrange (2) expressing x in terms of y by subtracting 2y from both sides
x = - 2 - 2y → (3)
Substitute x = - 2 - 2y into (1)
- 3(- 2 - 2y) - 4y = 2 ← distribute parenthesis and simplify left side
6 + 6y - 4y = 2
2y + 6 = 2 ( subtract 6 from both sides )
2y = - 4 ( divide both sides by 2 )
y = - 2
Substitute y = - 2 into (3) for corresponding value of x
x = - 2 - 2(- 2) = - 2 + 4 = 2
solution is (2, - 2 )