I've thought I had elimination down but adding fractions is making me crazy, help?
The question that I need help on is.
m + 3/4n =4
n - 1/4m = -1
Well, if you don't like fractions, you can get rid of them.
$\displaystyle m + \frac{3}{4}n = 4$ is equivalent to
$\displaystyle 4m + 3n = 16$
and $\displaystyle n - \frac{1}{4}m = -1$ is equivalent to
$\displaystyle 4n - m = -4$.
If you can handle fractions, the easiest method comes from adding the two equations $\displaystyle m + \frac{3}{4}n = 4$ and $\displaystyle 4n - m = -4$ to obtain $\displaystyle \left(4 + \frac{3}{4}\right)n = 0$, that is, $\displaystyle n = 0$.
From this, $\displaystyle m = 4$ quickly follows.