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21 April, 22:53

Solve the given system equations

4x-3y=9

10y=2x+4

+1
Answers (1)
  1. 21 April, 22:58
    0
    x = 3, y = 1

    Step-by-step explanation:

    Solve the following system:

    {4 x - 3 y = 9 | (equation 1)

    10 y = 2 x + 4 | (equation 2)

    Express the system in standard form:

    {4 x - 3 y = 9 | (equation 1)

    - (2 x) + 10 y = 4 | (equation 2)

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

    {4 x - 3 y = 9 | (equation 1)

    0 x + (17 y) / 2 = 17/2 | (equation 2)

    Multiply equation 2 by 2/17:

    {4 x - 3 y = 9 | (equation 1)

    0 x+y = 1 | (equation 2)

    Add 3 * (equation 2) to equation 1:

    {4 x+0 y = 12 | (equation 1)

    0 x+y = 1 | (equation 2)

    Divide equation 1 by 4:

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

    0 x+y = 1 | (equation 2)

    Collect results:

    Answer: {x = 3, y = 1
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