Answer:
(m,n) is (-2,2)
Explanation:
Elimination means that we should rewrite one of the two equations as an expression of one of the variables isolated, and then use that definition isn the other equation. It is also called "substitution."
Lets use the first equation and rewrite it so that the variable m is isolated:
3m-4n=-14
-4n = -3m-14
n = (3/4)m +(7/2)
Now use this definition of n in the second equation:
3m+2n=-2
3m+2((3/4)m +(7/2)) = -2
3m + (3/2)m + 7 = -2
4.5m = -9
m = -2
Now use m= -2 in either equation to find n.
3m-4n=-14
3(-2)-4n=-14
-6 -4n = -14
-4n = -8
n = 2
The solution of this system of equations is (-2,2).
See the attached graph, with x and y used in place of m and n.