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16 June, 08:50

2x - 3y = - 1

y = x - 1

Solve for both x and y using elimination.

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Answers (1)
  1. 16 June, 09:11
    0
    Solve the following system using elimination:

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

    {y = x - 1 | (equation 2)

    Express the system in standard form:

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

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

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

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

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

    Multiply equation 2 by - 2:

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

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

    Add 3 * (equation 2) to equation 1:

    {2 x+0 y = 8 | (equation 1)

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

    Divide equation 1 by 2:

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

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

    Collect results:

    Answer: {x = 4, y = 3
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