Question 404843
Let's solve this system by using the process of elimination by subtraction.  We will eliminate the n variable by multiplying the top equation by 2 and then subtracting the two equations.
2(2m=n-3)
  3m=2n-9

  4m=2n-6
- 3m=2n-9
   m=3   Remember, -6-(-9) is -6+9, so the answer is 3.

To solve for n, substitute m=3 into any of the original equations.
   2m=n-3
 2(3)=n-3
   6 =n-3
  +3   +3  Addition property of equality
   9 =n

So the answer is (3,9)
To check your answer, plug the point into both of the equations and see if they make sense.
2m=n-3   2(3)=9-3
           6=6  checks out:)
3m=2n-9  3(3)=2(9)-9
           9=18-9
           9=9  checks out also:)