\[\left\{ \begin{matrix}
4x - 5y = - 83 \\
2x + 5y = 29\ \ \ \\
\end{matrix}( + ) \right.\ \]
\[\left\{ \begin{matrix}
6x = - 54\ \ \ \ \ \\
y = \frac{29 - 2x}{5} \\
\end{matrix} \right.\ \text{\ \ }\]
\[\left\{ \begin{matrix}
x = - 9 \\
y = \frac{47}{5} \\
\end{matrix} \right.\ \Longrightarrow \left\{ \begin{matrix}
x = - 9 \\
y = 9,4 \\
\end{matrix} \right.\ \]
\[Ответ:( - 9;9,4)\text{.\ }\]