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Find (x,y) 

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 Oct 22, 2017
 #1
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Solve the following system:
{x + y = 10 - x - y | (equation 1)
x - y = -2 + x + y | (equation 2)

 

Express the system in standard form:
{2 x + 2 y = 10 | (equation 1)
0 x - 2 y = -2 | (equation 2)

 

Divide equation 1 by 2:
{x + y = 5 | (equation 1)
0 x - 2 y = -2 | (equation 2)

 

Divide equation 2 by -2:
{x + y = 5 | (equation 1)
0 x+y = 1 | (equation 2)

 

Subtract equation 2 from equation 1:
{x+0 y = 4 | (equation 1)
0 x+y = 1 | (equation 2)

 

Collect results:
x = 4               and               y = 1

 Oct 22, 2017

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