-2x-3y=7      (1) 

-3x-2y=3      (2)

To solve the above system, we can use substitution method.  From Eq (1) , we can have y= (7+2x)/-3.  Substitute this in Eq (2) as follows

 

-3x+ 2(7+2x)/3 = 3

Or,

-9x+14+4x=9

-5x=-5

X=1 , hence y=9/-3  or y=-3

 

Thus the point (1,-3) is the solution to the system