Answer:
The solution to the system of equations is m = -2 and n = 2.
Step-by-step explanation:
Given equations:
1) 3m - 4n = -14
2) 3m + 2n = -2
To eliminate the variable "m", we'll subtract equation 2 from equation 1:
(3m - 4n) - (3m + 2n) = (-14) - (-2)
3m - 4n - 3m - 2n = -14 + 2
(-4n - 2n) = -12
-6n = -12
Now, divide both sides by -6:
n = (-12) / (-6)
n = 2
Now, substitute n = 2 into either equation to find m. Let's use equation 1:
3m - 4(2) = -14
3m - 8 = -14
3m = -14 + 8
3m = -6
Now, divide both sides by 3:
m = (-6) / 3
m = -2
So, the solution to the system of equations is m = -2 and n = 2.