Решите систему уравнений: (m+1)/5-(3n-5)/10=-2; (m-3)/6+(5n-9)/4=2,5.

\[\left\{ \begin{matrix}
\frac{m + 1}{5} - \frac{3n - 5}{10} = - 2\ \ \ | \cdot 50 \\
\frac{m - 3}{6} + \frac{5n - 9}{4} = 2,5\ \ \ \ | \cdot 12 \\
\end{matrix} \right.\ \text{\ \ \ \ \ \ }\]

\[\left\{ \begin{matrix}
10m + 10 - 15n + 25 = - 100\ \ \\
2m - 6 + 15n - 27 = 30\ \ \ \ \ \ \ \ \ \ \ \ \\
\end{matrix} \right.\ \]

\[\left\{ \begin{matrix}
10m - 15n = - 135 \\
2m + 15n = 63\ \ \ \ \ \ \ \ \\
\end{matrix} \right.\ + \ \ \ \ \]

\[\ \left\{ \begin{matrix}
12m = - 72\ \ \ \\
n = \frac{63 - 2m}{15} \\
\end{matrix} \right.\ \text{\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ }\]

\[\left\{ \begin{matrix}
m = - 6 \\
n = 5\ \ \ \ \\
\end{matrix} \right.\ \]

\[Ответ:( - 6;5).\]