SOLUTION: please help me solve this problem. graph and check to solve the linear system. -x+y=3 x+y=5

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Question 155880: please help me solve this problem.
graph and check to solve the linear system.
-x+y=3
x+y=5
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.-x%2By=3
2.+x%2By=5
Add the two equations together to get rid of x.
%28-x%2By%29%2B%28x%2By%29=3%2B5
2y=8
highlight%28y=4%29
You can use either 1 or 2 to solve for x.
1.-x%2By=3
-x%2B4=3
-x=-1
highlight%28x=1%29
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Let graph both lines,
First eq. 1, y=x+3. Slope 1, Y intercept 3.

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Then add eq. 2, y=-x+5. Slope -1, Y-intercept 5.
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Verifies that (1,4) is the solution.