2m-n=5 3m+2n=-24

2m - n = 5

3m + 2n = -24
double the first equation, and you get
4m - 2n = 10
3m + 2n = -24
Now add them up to get
7m = -14
and the rest is easy

Correct

3. 0

To find the values of unknown variables "m" and "n" in the given system of equations, you can solve them using the method of elimination or substitution.

Let's solve these equations using the method of elimination:

Step 1: Multiply the first equation by 2 and the second equation by 1, so that the coefficients of "n" in both equations will be the same but with opposite signs.

2(2m - n) = 2(5) => 4m - 2n = 10
1(3m + 2n) = 1(-24) => 3m + 2n = -24

Step 2: Add the two equations together.

(4m - 2n) + (3m + 2n) = 10 + (-24)
7m = -14
Divide both sides of the equation by 7:
m = -14/7
m = -2

Step 3: Substitute the value of m = -2 into one of the original equations to find the value of "n".

2(-2) - n = 5
-4 - n = 5
Subtract -4 from both sides of the equation:
-n = 5 + 4
-n = 9
Multiply both sides of the equation by -1 to isolate "n":
n = -9

So, the solution to the system of equations is m = -2 and n = -9.