$$\frac{30}{x}\frac{-8}{y}=1; \frac{12}{x}+\frac{6}{y}=5$$
$x=4\sqrt{655}-100\approx 2.371871137\text{, }y=-2\sqrt{655}-50\approx -101.185935568$
$x=-4\sqrt{655}-100\approx -202.371871137\text{, }y=2\sqrt{655}-50\approx 1.185935568$
