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can anyone tell me how to solve the system of equations:
[tex](x-1)(y^2+6) = y(x^2+1)[/tex]
[tex](y-1)(x^2+6) = x(y^2+1)[/tex]
note: this is not a homework problem. as far as i know, this is a problem from australia's national math olympiad.
[tex](x-1)(y^2+6) = y(x^2+1)[/tex]
[tex](y-1)(x^2+6) = x(y^2+1)[/tex]
note: this is not a homework problem. as far as i know, this is a problem from australia's national math olympiad.