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6 February, 02:23

Y = - 3x+4 and y = 1/2x-3

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Answers (1)
  1. 6 February, 04:01
    0
    {x = 2, y = - 2

    Step-by-step explanation:

    Solve the following system:

    {y = 4 - 3 x | (equation 1)

    {y = x/2 - 3 | (equation 2)

    Express the system in standard form:

    {3 x + y = 4 | (equation 1)

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

    Add 1/6 * (equation 1) to equation 2:

    {3 x + y = 4 | (equation 1)

    {0 x + (7 y) / 6 = (-7) / 3 | (equation 2)

    Multiply equation 2 by 6/7:

    {3 x + y = 4 | (equation 1)

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

    Subtract equation 2 from equation 1:

    {3 x+0 y = 6 | (equation 1)

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

    Divide equation 1 by 3:

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

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

    Collect results:

    Answer: {x = 2, y = - 2
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