Решите систему уравнений: 2x+3y=0; 7x-2y=-25.

\[\left\{ \begin{matrix} 2x + 3y = 0\ \ \ \ \ \ \ \ \ | \cdot 2 \\ 7x - 2y = - 25\ \ \ | \cdot 3 \\ \end{matrix} \right.\ \]

\[\left\{ \begin{matrix} 4x + 6y = 0\ \ \ \ \ \ \ \ \\ 21x - 6y = - 75 \\ \end{matrix} \right.\ ( + )\]

\[25x = - 75\]

\[x = - 3;\]

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

\[y = 2.\]

\[Ответ:( - 3;2).\]