SOLUTION: x^2+y^2=13 x-2y=1

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Question 829515: x^2+y^2=13
x-2y=1
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.x%5E2%2By%5E2=13
2.x-2y=1
From eq. 2,
x=1%2B2y
Substitute into eq. 1,
%282y%2B1%29%5E2%2By%5E2=13
4y%5E2%2B4y%2B1%2By%5E2=13
5y%5E2%2B4y%2B1=13
5y%5E2%2B4y-12=0
%285y-6%29%28y%2B2%29=0
Two solutions
5y-6=0
5y=6
y=6%2F5
Then from eq. 2,
x=1%2B2%286%2F5%29
x=1%2B12%2F5
x=17%2F5
Also,
y%2B2=0
y=-2
Then from eq. 2,
x=1%2B2%28-2%29
x=1-4
x=-3
The intersection of a line with a circle,
(17%2F5,6%2F5) and (-3,-2)
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