Answer:
C
Step-by-step explanation:
given the 2 equations
x + y = 0 → (1)
5x + 3y = - 8 → (2)
Rearrange (1) expressing x in terms of y by subtracting y from both sides
x = - y → (3)
Substitute x = - y into (2)
5(- y) + 3y = - 8, that is
- 5y + 3y = - 8
- 2y = - 8 ( divide both sides by - 2 )
y = 4
Substitute y = 4 into (3) for corresponding value of x
x = - y = - 4
Solution is (- 4, 4 ) → C
