This question separates m.

2mx-x-my-3y-m+ 1 1=0

(2x-y- 1)m-x-3y+ 1 1 = 0

Let 2x-y- 1=0 and -x-3y+ 1 1=0.

Get x = 2, y = 3.

So through points (2, 3)