Question

Giải hệ pt:

\(\left\{{}\begin{matrix}\dfrac{x}{2}-\dfrac{y}{3}=1\\5x-8y=3\end{matrix}\right.\)

Answer 1

\(\left\{{}\begin{matrix}\dfrac{x}{2}-\dfrac{y}{3}=1\\5x-8y=3\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}\dfrac{1}{2}x-\dfrac{1}{3}y=1\\5x-8y=3\end{matrix}\right.\)

\(\left\{{}\begin{matrix}15x-10y=30\\15x-24y=3\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}14y=21\\15x-24y=3\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}y=\dfrac{3}{2}\\15x-24\left(\dfrac{3}{2}\right)=9\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}y=\dfrac{3}{2}\\x=3\end{matrix}\right.\)