Đáp án:
$\begin{array}{l}
\left\{ \begin{array}{l}
2x + y = m\\
3x - 2y = 5
\end{array} \right.\\
\Rightarrow \left\{ \begin{array}{l}
4x + 2y = 2m\\
3x - 2y = 5
\end{array} \right.\\
\Rightarrow \left\{ \begin{array}{l}
7x = 2m + 5\\
y = m - 2x
\end{array} \right.\\
\Rightarrow \left\{ \begin{array}{l}
x = \dfrac{{2m + 5}}{7}\\
y = m - 2.\dfrac{{2m + 5}}{7}
\end{array} \right.\\
\Rightarrow \left\{ \begin{array}{l}
x = \dfrac{{2m + 5}}{7}\\
y = \dfrac{{3m - 10}}{7}
\end{array} \right.\\
x > 0;y > 0\\
\Rightarrow \left\{ \begin{array}{l}
\dfrac{{2m + 5}}{7} > 0\\
\dfrac{{3m - 10}}{7} > 0
\end{array} \right.\\
\Rightarrow \left\{ \begin{array}{l}
2m + 5 > 0\\
3m - 10 > 0
\end{array} \right.\\
\Rightarrow \left\{ \begin{array}{l}
m > - \dfrac{5}{2}\\
m > \dfrac{{10}}{3}
\end{array} \right.\\
\Rightarrow m > \dfrac{{10}}{3}
\end{array}$
