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5x^2-15xy+10y^2=14; -9xy+3x^2+6y^2=7

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   2                2     
5*x  - 15*x*y + 10*y  = 14
$$10 y^{2} + \left(5 x^{2} - 15 x y\right) = 14$$
            2      2    
-9*x*y + 3*x  + 6*y  = 7
$$6 y^{2} + \left(- 9 x y + 3 x^{2}\right) = 7$$
6*y^2 + (-9*x)*y + 3*x^2 = 7