SOLUTION: What is one of the solutions to the following system of equations? y2 + x2 = 65 y + x = 7

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Question 792809: What is one of the solutions to the following system of equations?

y2 + x2 = 65
y + x = 7

Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
y2 + x2 = 65
y + x = 7
y + x = 7
x = 7 - y
Substitute into y^2 + x^2 = 65
y^2 + (7 - y)^2 = 65
y^2 + 49 - 14y + y^2 = 65
2y^2 - 14y - 16 = 0
Divide throout by 2
y^2 - 7y - 8 = 0
(y + 1)(y - 8) = 0
y = -1 or 8.
Substitute into
x + y = 7
x = -1 or 8
Hope this helps.
:-)