$$x = 15 y = 27 81 x ^ { 2 } - 90 x y + 25 y ^ { 2 }$$
$x=15y\text{ and }15y=2187x^{2}-90xy+25y^{2}$
$\left\{\begin{matrix}x=0\text{, }&y=0\\x=\frac{9}{19630}\approx 0.000458482\text{, }&y=\frac{3}{98150}\end{matrix}\right.$
$\left\{\begin{matrix}y=0\text{, }&x=0\\y=\frac{3}{98150}\text{, }&x=\frac{9}{19630}\end{matrix}\right.$
