$$\frac{ 1 }{ 5x } + \frac{ 1 }{ 6y } =12, \frac{ 1 }{ 3x } - \frac{ 3 }{ 7y } =8$$
$x=\frac{89}{4080}\approx 0.021813725$
$y=\frac{89}{1512}\approx 0.058862434$
