SOLUTION: Find the solution set of the following equation using the substitution method: x+y=-3 (x+6)^2+(y+4)^2=37

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Question 1103638: Find the solution set of the following equation using the substitution method:
x+y=-3
(x+6)^2+(y+4)^2=37
Found 2 solutions by josgarithmetic, Boreal:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x or y from the linear equation and substitute into the ellipse equation; solve for the single variable and use it for finding the other variable.

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
y=-3-x
(x+6)^2+(-3-x+4)^2=37
-3-x+4=1-x
x^2+12x+36+1-2x+x^2=37
2x^2+10x+37=37
2x^2+10x=0
2x(x+5)=0
x=0, -5
y=-3, 2
points are (0, -3) and (-5, 2)