Find (x,y)
https://latex.artofproblemsolving.com/9/2/6/9261658481dcc413b2af7373f400fe889f044303.png
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
