\(\begin{array}{l}
\left\{ \begin{array}{l}
3{x^2}y - y{x^2} = 1\,\,\,\,\,\,\,\left( 1 \right)\\
- {y^3} = 7\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\left( 2 \right)
\end{array} \right.\\
\left( 2 \right) \Leftrightarrow y = - \sqrt[3]{7}.\\
\left( 1 \right) \Leftrightarrow 2{x^2}y = 1\\
\Leftrightarrow 2{x^2}\left( { - \sqrt[3]{7}} \right) = 1\\
\Leftrightarrow {x^2} = \frac{1}{{ - 2\sqrt[3]{7}}}\,\,\,\left( {vo\,\,ly} \right)\\
\Rightarrow he\,\,pt\,\,vo\,\,nghiem.
\end{array}\)
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