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