SOLUTION: X^2+y^2=10 X+3y=10

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Question 874383: X^2+y^2=10
X+3y=10
Answer by mananth(16946) About Me  (Show Source):
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X^2+y^2=10
X+3y=10
x=10-3y
substitute
%2810-3y%29%5E2%2By%5E2+=10
100-60y%2B9y%5E2%2By%5E2=10

10y%5E2-60y%2B90=0

/10
y^2-6y+9=0
y^2-3y-3y+9=0
y(y-3)-3(y-3)=0
(y-3)^2=0
y-3=0
y=3