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7 June, 00:09

What is the y value in the solution to this system of linear equations?

4 х + 5y=-12

2 х + Зу = - 16

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Answers (1)
  1. 7 June, 00:19
    0
    The y-value is - 20

    Step-by-step explanation:

    So let's solve this by Elimination method;

    -2 (4x + 5y = - 12)

    4 (2x + 3y = - 16)

    Let's Distribute;

    -8x - 10y = 24

    8x + 12y = - 64

    So x cancels out because - 8 + 8 = 0

    -10y + 12y = 2y

    24 - 64 = - 40

    2y = - 40

    Divide both sides by 2;

    y = - 20

    Now lets plug in y to find the value of x;

    4x + 5 (-20) = - 12

    4x - 100 = - 12

    Add 100 to both sides;

    4x = 88

    Divide both sides by 4;

    x = 22
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