Question

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

Answer 1

If your question mean:

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

then

Multiply both sides of first equation by 2

4 m - 2 n = 10

Subtract the second equation from this equation.

4 m - 2 n = 10
-
3 m + 2 n = - 24
_____________

( 4 m - 3 m ) - 2 n - 2 n = 10 - ( - 24 )

m - 4 n = 10 + 24

m - 4 n = 34

Add 4n to both sides

m = 4 n + 34

Replace m with 4 n + 34 in equation

2 m - n = 5

2 ∙ ( 4 n + 34 ) - n = 5

8 n + 68 - n = 5

7 n + 68 = 5

Subtract 68 to both sides

7 n = - 63

Diivide both sides by 7

n = - 9

Replace n with - 9 in equation

2 m - n = 5

2 m - ( - 9 ) = 5

2 m + 9 = 5

Subtract 9 to both sides

2 m = - 4

Divide both sides by 2

m = - 2

Solution:

m = - 2 , n = - 9