Решите систему уравнений: 2x-3y=5; x/2=y/3.

\[\left\{ \begin{matrix}
2x - 3y = 5 \\
\frac{x}{2} = \frac{y}{3}\ \ \ \ \ | \cdot 6 \\
\end{matrix} \right.\ \]

\[\left\{ \begin{matrix}
2x - 3y = 5\ \ | \cdot 2 \\
3x - 2y = 0\ \ | \cdot 3 \\
\end{matrix} \right.\ \]

\[\left\{ \begin{matrix}
4x - 6y = 10 \\
9x - 6y = 0\ \ \ \\
\end{matrix} \right.\ ( - )\]

\[- 5x = 10\]

\[x = - 2.\]

\[2y = 3x = 3 \cdot ( - 2) = - 6\]

\[y = - 3.\]

\[Ответ:( - 2; - 3).\]