Solving the first equation for m, we have:
[tex]\begin{gathered} 2\frac{2}{9}=-\frac{4}{5}m \\ (2+\frac{2}{9})=-\frac{4}{5}m \\ (\frac{18+2}{9})=-\frac{4}{5}m \\ \frac{20}{9}=-\frac{4}{5}m \\ \frac{4}{5}m=-\frac{20}{9} \\ \frac{m}{5}=-\frac{5}{9} \\ 9m=-25 \\ m=-\frac{25}{9} \end{gathered}[/tex]Now, solving the second equation for n, we have:
[tex]\begin{gathered} -2\frac{4}{5}=-3\frac{1}{2}n \\ (-2-\frac{4}{5})=(-3-\frac{1}{2})n \\ (\frac{-10-4}{5})=(\frac{-6-1}{2})n \\ -\frac{14}{5}=-\frac{7}{2}n \\ \frac{2}{5}=\frac{1}{2}n \\ 5n=4 \\ n=\frac{4}{5} \end{gathered}[/tex]
