Is it possible to derive the solution of the following set of two nonlinear equations explicitly?

\begin{cases}
Axy - x³y² + B = 0\\
Cxy - Dx²y³ + E = 0
\end{cases}

If not, how can I derive the influence of one of the parameters, say A, on the value of x and y? Is there any workaround to this? (approximation?)