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how do you calculate 4x+9y=5 -4x+7y=11

 Feb 8, 2017
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Solve the following system:
{4 x + 9 y = 5 | (equation 1)
7 y - 4 x = 11 | (equation 2)
Add equation 1 to equation 2:
{4 x + 9 y = 5 | (equation 1)
0 x+16 y = 16 | (equation 2)
Divide equation 2 by 16:
{4 x + 9 y = 5 | (equation 1)
0 x+y = 1 | (equation 2)
Subtract 9 × (equation 2) from equation 1:
{4 x+0 y = -4 | (equation 1)
0 x+y = 1 | (equation 2)
Divide equation 1 by 4:
{x+0 y = -1 | (equation 1)
0 x+y = 1 | (equation 2)
Collect results:
Answer: |x = -1            and               y = 1

 Feb 8, 2017

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