Решите систему уравнений: 4x-5y=-22; 3x+7y=5.

\[\left\{ \begin{matrix} 4x - 5y = - 22\ \ | \cdot 3 \\ 3x + 7y = 5\ \ \ \ \ \ \ \ | \cdot 4 \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ \ \ }\]

\[\left\{ \begin{matrix} 12x - 15y = - 66 \\ 12x + 28y = 20 \\ \end{matrix} \right.\ - \ \ \ \]

\[\left\{ \begin{matrix} - 43y = - 86 \\ x = \frac{5 - 7y}{3}\text{\ \ \ } \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ \ \ \ \ \ \ \ }\]

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

\[Ответ:( - 3;2).\]