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Y=x+9 3x+8y=-5

 Oct 12, 2016
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Solve the following system:
{y = x+9
3 x+8 y = -5

Substitute y = x+9 into the second equation:
{y = x+9
3 x+8 (x+9) = -5

3 x+8 (x+9) = (8 x+72)+3 x = 11 x+72:
{y = x+9
11 x+72 = -5

In the second equation, look to solve for x:
{y = x+9
11 x+72 = -5

Subtract 72 from both sides:
{y = x+9
11 x = -77

Divide both sides by 11:
{y = x+9
x = -7

Substitute x = -7 into the first equation:
{y = 2
x = -7

Collect results in alphabetical order:
Answer: |x = -7                 and                   y = 2

 Oct 12, 2016

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