\(\left\{{}\begin{matrix}6x^2+5y^2=74\\2x^2+3y^2=77\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}6x^2+5y^2=74\\6x^2+9y^2=231\end{matrix}\right.\)
=>\(\left\{{}\begin{matrix}6x^2+9y^2-6x^2-5y^2=231-74=157\\2x^2+3y^2=77\end{matrix}\right.\)
=>\(\left\{{}\begin{matrix}4y^2=157\\2x^2=77-3y^2\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}y^2=\dfrac{157}{4}\\x^2=\dfrac{77-3y^2}{2}=-\dfrac{163}{8}\left(vôlý\right)\end{matrix}\right.\)
vậy: Hệ vô nghiệm
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