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22 June, 13:54

What is

-3x+3y=6

3x+5y=-46

+5
Answers (1)
  1. 22 June, 16:50
    0
    x = - 7, y = - 5

    Step-by-step explanation:

    Solve the following system:

    {3 y - 3 x = 6 | (equation 1)

    3 x + 5 y = - 46 | (equation 2)

    Add equation 1 to equation 2:

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

    0 x+8 y = - 40 | (equation 2)

    Divide equation 1 by 3:

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

    0 x+8 y = - 40 | (equation 2)

    Divide equation 2 by 8:

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

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

    Subtract equation 2 from equation 1:

    {-x+0 y = 7 | (equation 1)

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

    Multiply equation 1 by - 1:

    {x+0 y = - 7 | (equation 1)

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

    Collect results:

    Answer: {x = - 7, y = - 5
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