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20 June, 18:00

Solve the system.

x+3y = 22

2x - y=2

(7,5)

(2,2)

(4,6)

no solution

+2
Answers (1)
  1. 20 June, 18:34
    0
    x = 4, y = 6

    Step-by-step explanation:

    Solve the following system:

    {x + 3 y = 22 | (equation 1)

    2 x - y = 2 | (equation 2)

    Swap equation 1 with equation 2:

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

    x + 3 y = 22 | (equation 2)

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

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

    0 x + (7 y) / 2 = 21 | (equation 2)

    Multiply equation 2 by 2/7:

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

    0 x+y = 6 | (equation 2)

    Add equation 2 to equation 1:

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

    0 x+y = 6 | (equation 2)

    Divide equation 1 by 2:

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

    0 x+y = 6 | (equation 2)

    Collect results:

    Answer: {x = 4, y = 6
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