Каким образом можно решить данную систему

[latex] \left \{ {{y- \frac{50}{x^2} =0} \atop {x- \frac{20}{y^2} =0}} \right. \\ \left \{ {{x^2y=50} \atop {xy^2=20}} \right. \\ \left \{ {{ \frac{x}{y} = \frac{5}{2} } \atop {xy^2=20}} \right.\\ \left \{ {{y = \frac{2x}{5} } \atop {x*\frac{4x^2}{25}=20}} \right.\\ \left \{ {{y = \frac{2x}{5} } \atop {x^3=125}} \right. \\ \left \{ {{x=5} \atop {y=2}} \right.[/latex]