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22 July, 12:40

Solve the system using elimination

2x+3y=14

x+5y=14

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Answers (2)
  1. 22 July, 12:48
    0
    NVM my answer was wrong so i edited it
  2. 22 July, 16:18
    0
    x = 4, y = 2

    Step-by-step explanation by elimination:

    Solve the following system:

    {2 x + 3 y = 14 | (equation 1)

    x + 5 y = 14 | (equation 2)

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

    {2 x + 3 y = 14 | (equation 1)

    0 x + (7 y) / 2 = 7 | (equation 2)

    Multiply equation 2 by 2/7:

    {2 x + 3 y = 14 | (equation 1)

    0 x+y = 2 | (equation 2)

    Subtract 3 * (equation 2) from equation 1:

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

    0 x+y = 2 | (equation 2)

    Divide equation 1 by 2:

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

    0 x+y = 2 | (equation 2)

    Collect results:

    Answer: {x = 4, y = 2
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