Solve the following equation.
$x - y = 13 - 3 x y, x^{2} y - y^{2} x = 12$ .

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Solution

Ans. $x = 2 + \sqrt{7}, y = - 2 + \sqrt{7}$
or $x = 2 - \sqrt{7}, y = - 2 - \sqrt{7}$ .

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