Answer:
(1, - 3 )
Step-by-step explanation:
Given the 2 equations
x + y = - 2 → (1)
- 3x + y = - 6 → (2)
Rearrange (2) expressing y in terms of x by adding 3x to both sides
y = - 6 + 3x → (3)
Substitute y = - 6 + 3x into (1)
x - 6 + 3x = - 2
4x - 6 = - 2 ( add 6 to both sides )
4x = 4 ( divide both sides by 4 )
x = 1
Substitute x = 1 into (3) for corresponding value of y
y = - 6 + 3(1) = - 6 + 3 = - 3
solution is (1, - 3 )
