2m + n = 2

3m - 2n = 3

m = 1 n = 0

Step-by-step explanation:

(2m + n = 2) 2 You need to cancel out one of the variable, so I chose n

3m - 2n = 3

3m - 2n = 3

4m + 2n = 4 Add the two equations together

7m = 7 Divide both sides by 7

m = 1

Plug 1 in for m into one equation

2 (1) + n = 2

2 + n = 2

-2 - 2 Subtract 2 from both sides

n = 0

Check this with the other equation to make sure it is the same answer

3 (1) - 2n = 3

3 - 2n = 3

-3 - 3 Subtract 3 from both sides

-2n = 0 Divide both sides by - 2

n = 0