$$6x^{2}-5xy-y^{2}=0;y^{2}+4xy=30$$
$x=-\sqrt{6}\approx -2.449489743\text{, }y=-\sqrt{6}\approx -2.449489743$
$x=\sqrt{6}\approx 2.449489743\text{, }y=\sqrt{6}\approx 2.449489743$
$x=\frac{\sqrt{10}}{2}\approx 1.58113883\text{, }y=-3\sqrt{10}\approx -9.486832981$
$x=-\frac{\sqrt{10}}{2}\approx -1.58113883\text{, }y=3\sqrt{10}\approx 9.486832981$
