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28 January, 04:40

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

4x + 5y = - 12

-2x + 3y = - 16

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Answers (2)
  1. 28 January, 04:44
    0
    y = - 4

    Step-by-step explanation:

    Solve the following system:

    {4 x + 5 y = - 12 | (equation 1)

    3 y - 2 x = - 16 | (equation 2)

    Add 1/2 * (equation 1) to equation 2:

    {4 x + 5 y = - 12 | (equation 1)

    0 x + (11 y) / 2 = - 22 | (equation 2)

    Multiply equation 2 by 2/11:

    {4 x + 5 y = - 12 | (equation 1)

    0 x+y = - 4 | (equation 2)

    Subtract 5 * (equation 2) from equation 1:

    {4 x+0 y = 8 | (equation 1)

    0 x+y = - 4 | (equation 2)

    Divide equation 1 by 4:

    {x+0 y = 2 | (equation 1)

    0 x+y = - 4 | (equation 2)

    Collect results:

    Answer: {x = 2, y = - 4
  2. 28 January, 05:01
    0
    Answer: The answer is y = - 4
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