SOLUTION: Use the substitution method to find all solutions of the systems of equations. x^2+y=9, x-y+3=o

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Question 372610: Use the substitution method to find all solutions of the systems of equations.
x^2+y=9, x-y+3=o
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.x%5E2%2By=9
2.x-y%2B3=0
Add eq. 1 to eq. 2,
x%5E2%2By%2Bx-y%2B3=9
x%5E2%2Bx%2B3=9
x%5E2%2Bx-6=0
%28x%2B3%29%28x-2%29=0
Two solutions:
x%2B3=0
highlight%28x=-3%29
Then from eq. 2,
-3-y%2B3=0
highlight%28y=0%29
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x-2=0
highlight_green%28x=2%29
Then from eq. 2,
2-y%2B3=0
highlight_green%28y=5%29
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