SOLUTION: Please help me solve this equation: 2x^2-y^2=1 x^2-2y^2= -1

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Question 325940: Please help me solve this equation:
2x^2-y^2=1
x^2-2y^2= -1
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.2x%5E2-y%5E2=1
2.x%5E2-2y%5E2=+-1
Multiply eq. 2 by -2 and add to eq. 1,
2x%5E2-y%5E2-2x%5E2%2B4y%5E2=1%2B2
3y%5E2=3
y%5E2=1
y=0+%2B-+1
Solve for x in each case of y using either equation.
y=1
2x%5E2-1=1
2x%5E2=2
x=0+%2B-+1
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y=-1
2x%5E2-1=1
x=+0+%2B-+1
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(-1,1)
(-1,-1)
(1,1)
(1,-1)
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