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14 January, 13:37

What is the solution to the system of equations below? y=-2x-6 and 2y=4x-12

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Answers (1)
  1. 14 January, 14:43
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    {x = 0, y = - 6

    Step-by-step explanation:

    Solve the following system:

    {y = - 2 x - 6 | (equation 1)

    {2 y = 4 x - 12 | (equation 2)

    Express the system in standard form:

    {2 x + y = - 6 | (equation 1)

    { - (4 x) + 2 y = - 12 | (equation 2)

    Swap equation 1 with equation 2:

    { - (4 x) + 2 y = - 12 | (equation 1)

    {2 x + y = - 6 | (equation 2)

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

    { - (4 x) + 2 y = - 12 | (equation 1)

    {0 x+2 y = - 12 | (equation 2)

    Divide equation 1 by 2:

    { - (2 x) + y = - 6 | (equation 1)

    {0 x+2 y = - 12 | (equation 2)

    Divide equation 2 by 2:

    { - (2 x) + y = - 6 | (equation 1)

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

    Subtract equation 2 from equation 1:

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

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

    Divide equation 1 by - 2:

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

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

    Collect results:

    Answer: {x = 0, y = - 6
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