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31 August, 01:45

What is the solution to the system of equations?

y=-3x - 2

5x + 2y = 15

(-40, 19)

(-19,55)

(19,-40)

(55, - 19)

+2
Answers (2)
  1. 31 August, 01:58
    0
    ( - 19, 55)

    Step-by-step explanation:

    Given the 2 equations

    y = - 3x - 2 → (1)

    5x + 2y = 15 → (2)

    Substitute y = - 3x - 2 into (2)

    5x + 2 ( - 3x - 2) = 15 ← distribute and simplify left side

    5x - 6x - 4 = 15

    - x - 4 = 15 (add 4 to both sides)

    - x = 19 (multiply both sides by - 1)

    x = - 19

    Substitute x = - 19 into (1) for corresponding value of y

    y = - 3 ( - 19) - 2 = 57 - 2 = 55

    Solution is ( - 19, 55)
  2. 31 August, 01:59
    0
    55,-19 because if y=55 and x=-19 then - 19 times 3 = 57. 57-2=55
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