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23 April, 19:19

Find the solution to the system of equations given below using elimination by addition.

10x + 10y = 60

5x - 5y = 40

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Answers (1)
  1. 23 April, 21:54
    0
    x = 7, y = - 1

    Step-by-step explanation by elimination:

    Solve the following system:

    {10 x + 10 y = 60 | (equation 1)

    5 x - 5 y = 40 | (equation 2)

    Subtract 1/2 * (equation 1) from equation 2:

    {10 x + 10 y = 60 | (equation 1)

    0 x - 10 y = 10 | (equation 2)

    Divide equation 1 by 10:

    {x + y = 6 | (equation 1)

    0 x - 10 y = 10 | (equation 2)

    Divide equation 2 by 10:

    {x + y = 6 | (equation 1)

    0 x - y = 1 | (equation 2)

    Multiply equation 2 by - 1:

    {x + y = 6 | (equation 1)

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

    Subtract equation 2 from equation 1:

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

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

    Collect results:

    Answer: {x = 7, y = - 1
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