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Y = - 4x-9

4x-y=1

What's the solution of the system?

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Answers (1)
  1. 3 May, 04:01
    0
    x = - 1, y = - 5

    Step-by-step explanation:

    Solve the following system:

    {y = - 4 x - 9 | (equation 1)

    4 x - y = 1 | (equation 2)

    Express the system in standard form:

    {4 x + y = - 9 | (equation 1)

    4 x - y = 1 | (equation 2)

    Subtract equation 1 from equation 2:

    {4 x + y = - 9 | (equation 1)

    0 x - 2 y = 10 | (equation 2)

    Divide equation 2 by 2:

    {4 x + y = - 9 | (equation 1)

    0 x - y = 5 | (equation 2)

    Multiply equation 2 by - 1:

    {4 x + y = - 9 | (equation 1)

    0 x+y = - 5 | (equation 2)

    Subtract equation 2 from equation 1:

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

    0 x+y = - 5 | (equation 2)

    Divide equation 1 by 4:

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

    0 x+y = - 5 | (equation 2)

    Collect results:

    Answer: {x = - 1, y = - 5
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