SOLUTION: 3x^2-y^2=3 2x-y=1

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Question 928142: 3x^2-y^2=3
2x-y=1
Answer by Fombitz(32388) About Me  (Show Source):
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1.3x%5E2-y%5E2=3
2.2x-y=1
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From eq. 2,
y=2x-1
y%5E2=%282x-1%29%5E2
y%5E2=4x%5E2-4x%2B1
Substituting into eq. 1,
3x%5E2-%284x%5E2-4x%2B1%29=3
-x%5E2%2B4x-1=3
-x%5E2%2B4x-4
x%5E2-4x%2B4=0
%28x-2%29%5E2=0
x-2=0
x=2
Then,
y=2%282%29-1
y=3