X + y = 0

5x + 3y = - 8

Which of the following ordered pairs (x, y) satisfies the

system of equations above?

a) (4,-5)

b) (4, - 4)

c) (-4,4)

d) (-3,3)

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