\[\left\{ \begin{matrix} \frac{m}{8} + \frac{3n}{4} = 4\ \ \ \ \ \ \ \ \ | \cdot 8 \\ \frac{m}{2} - \frac{2n}{5} = - 1\ \ \ | \cdot 10 \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ \ }\]
\[\left\{ \begin{matrix} m + 6n = 32\ \ \ \ \ | \cdot 5 \\ 5m - 4n = - 10\ \ \ \ \ \ \ \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ }\]
\[\left\{ \begin{matrix} 5m + 30n = 160 \\ 5m - 4n = - 10 \\ \end{matrix} - \right.\ \]
\[\left\{ \begin{matrix} 34n = 170\ \ \ \ \ \ \ \ \\ m = - \frac{10 + 4n}{5} \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ \ \ \ }\]
\[\left\{ \begin{matrix} n = 5\ \\ m = 2 \\ \end{matrix} \right.\ \]
\[Ответ:(2;5).\]