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21 April, 11:19

Find the solution to the system y = - 2x + 1 and y = x-5

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Answers (2)
  1. 21 April, 11:30
    0
    X is 2 and Y is - 3 that's all
  2. 21 April, 11:31
    0
    x = 2, y = - 3

    Step-by-step explanation:

    Solve the following system:

    {y = 1 - 2 x | (equation 1)

    y = x - 5 | (equation 2)

    Express the system in standard form:

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

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

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

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

    0 x + (3 y) / 2 = - 9/2 | (equation 2)

    Multiply equation 2 by 2/3:

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

    0 x+y = - 3 | (equation 2)

    Subtract equation 2 from equation 1:

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

    0 x+y = - 3 | (equation 2)

    Divide equation 1 by 2:

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

    0 x+y = - 3 | (equation 2)

    Collect results:

    Answer: {x = 2, y = - 3
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