Posted by RiRi on Sunday, November 9, 2008 at 8:34pm.
Substitute 3/x for y in the second equation, and solve the resulting equation for x.
x^2 + 9/x^2 = 10
x^4 - 10x^2 + 9 = 0
(x^2 - 1)(x^2 - 9) =
x = 1, -1, 3 or -3.
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