Solve this system of two equations with two unknowns using appropriate software: [ begin{aligned} x^{3}-y^{2} & =10.5

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Solve this system of two equations with two unknowns using appropriate software:

\[ \begin{aligned} x^{3}-y^{2} & =10.5 \\ 3 x y+y & =4.6 \end{aligned} \]

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