SOLUTION: find the two solution sets for the following equation using the substitution method: x+y=-3 (x+6)^2+(y+4)^2=37

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Question 1103760: find the two solution sets for the following equation using the substitution method:
x+y=-3
(x+6)^2+(y+4)^2=37

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
x=-%28y%2B3%29
So then substituting,
%28-y-3%2B6%29%5E2%2B%28y%2B4%29%5E2=37
%28-y%2B3%29%5E2%2B%28y%2B4%29%5E2=37
y%5E2-6y%2B9%2By%5E2%2B8y%2B16=37
2y%5E2%2B2y-12=0
y%5E2%2By-6=0
%28y%2B3%29%28y-2%29=0
Two solutions:
y%2B3=0
y=-3
.
.
y-2=0
y=2
Now use either equation to solve for x.