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14 June, 05:34

Solve the following system of equations.

2x-3y=8

-2x+6y=-20

+1
Answers (1)
  1. 14 June, 06:01
    0
    Solve the following system:

    {2 x - 3 y = 8 | (equation 1)

    {6 y - 2 x = - 20 | (equation 2)

    Add equation 1 to equation 2:

    {2 x - 3 y = 8 | (equation 1)

    {0 x+3 y = - 12 | (equation 2)

    Divide equation 2 by 3:

    {2 x - 3 y = 8 | (equation 1)

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

    Add 3 * (equation 2) to equation 1:

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

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

    Divide equation 1 by 2:

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

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

    Collect results:

    Answer: {x = - 2

    {y = - 4
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