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23 May, 11:21

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)

+1
Answers (1)
  1. 23 May, 15:11
    0
    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
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