KöMaL 2013 C1182

Solve the following simultaneous equations: $\frac{x^2 +2xy +3y^2}{3x^2 + 2xy +y^2} + \frac{3x^2 + 2xy +y^2}{x^2 +2xy +3y^2} =2;$ 3 $x$ -2 $y$ =1.

Official text KöMaL. Quoted with source.

Solutions

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