SOLUTION: solve algebraically 4x^2+y^2=4 -2x+y=2

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Question 930367: solve algebraically 4x^2+y^2=4 -2x+y=2
Answer by Fombitz(32388) About Me  (Show Source):
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From eq. 2,
2x=y-2
%282x%29%5E2=%28y-2%29%5E2
4x%5E2=y%5E2-4y%2B4
Substitute into eq. 1,
y%5E2-4y%2B4%2By%5E2=4
2y%5E2-4y=0
y%5E2-2y=0
y%28y-2%29=0
Two solutions:
y=0
Then,
2x=0-2%7D%7D%0D%0A%7B%7B%7Bx=-1
and
y-2=0
y=2
Then,
2x=2-2
2x=0
x=0
So the solutions are (-1,0) and (0,2)