Find (x,y)

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Guest Oct 22, 2017

#1**+1 **

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**

Guest Oct 22, 2017