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

Ответ:

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

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

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

\[- 5x = 10\]

\[x = - 2.\]

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

\[y = - 3.\]

\[Ответ:( - 2; - 3).\]