#### Answer

The best way to solve this system is by using elimination.

#### Work Step by Step

Our two equations are:
1. 3m-4n=1
2. 3m-2n=-1
Using elimination is most apt because we can easily eliminate the m-terms by subtracting the first equation from the second. Then we can solve for the value of n. Once we have that value, we can substitute that value of n into any one of the two equations and simplify to get the value of m. Therefore, using elimination is the most easiest and shortest method for solving this system.