6. (5 points) Find all solutions to the system of equations

$$
\left\{\begin{array}{l}
\frac{y^{3}}{x^{2}}+\frac{x}{y}=1 \\
\frac{2 x}{y^{2}}+\frac{4 y}{x}=1
\end{array}\right.
$$
6. $x_{1}=-8, \quad y_{1}=-4, \quad x_{2}=-54, \quad y_{2}=-18$

+ (5 points) - solution is correct.

+- (3 points) - solution is generally correct, but there are unfortunate arithmetic errors

-+ (2 points) - only one of the two solutions is found in the solution.