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3x + y = -1 -3x + y = 5

 Feb 11, 2016
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Solve the following system:

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

y-3 x = 5 | (equation 2)

Add equation 1 to equation 2:

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

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

Divide equation 2 by 2:

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

0 x+y = 2 | (equation 2)

Subtract equation 2 from equation 1:

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

0 x+y = 2 | (equation 2)

Divide equation 1 by 3:

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

0 x+y = 2 | (equation 2)

Collect results:

Answer: |x = -1       and        y=2

 Feb 11, 2016

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