\(\frac{m}{2}-\frac{2}{n}=\frac{1}{2}\)
\(\Rightarrow\frac{2}{n}=\frac{m}{2}-\frac{1}{2}\)
\(\Rightarrow\frac{2}{n}=\frac{m-1}{2}\)
\(\Rightarrow\hept{\begin{cases}2=m-1\\n=2\end{cases}}\)
\(\Rightarrow\hept{\begin{cases}m=3\\n=2\end{cases}}\)
Câu còn lại làm nốt
\(\frac{m}{2}-\frac{2}{n}=\frac{1}{2}\)
\(\Leftrightarrow\frac{2}{n}=\frac{m}{2}-\frac{1}{2}\)
\(\Leftrightarrow\frac{2}{n}=\frac{m-1}{2}\)
\(\Leftrightarrow\orbr{\begin{cases}2=m-1\\n=2\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}m=3\\n=2\end{cases}}\)
\(\frac{1}{m}-\frac{n}{6}=\frac{1}{2}\)
\(\Leftrightarrow\frac{n}{6}=\frac{1}{m}-\frac{1}{2}\)
\(\Leftrightarrow\frac{n}{6}=\frac{2-m}{2m}\)
\(\Leftrightarrow\orbr{\begin{cases}n=2-m\\6=2m\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}n=2-m\\m=3\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}n=2-3\\m=3\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}n=-1\\m=3\end{cases}}\)