5. (5 points) Find all solutions of the system of equations $\left\{\begin{array}{l}\frac{y^{3}}{x^{2}}+\frac{x}{y}=1 \\ \frac{2 x}{y^{2}}+\frac{4 y}{x}=1\end{array}\right.$.
5. $x_{1}=-8, \quad y_{1}=-4, \quad x_{2}=-54, \quad y_{2}=-18$

+ (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.

6. incorrect.