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

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

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

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

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

\[Ответ:( - 3;2).\]