Hi,
-6x+2y=14 | Multiplying (-3x+y = 7) by 2 to eliminate the y variable
4x-2y=3
-2x = 17, x = -17/2 and 
Ordered pair (-17/2, -37/2) is the solution for this sytem of equations
-4x+6y= -14 | Multiplying (2x-3y = 7) by -2 to eliminate the x variable
4x-5y= 3
y = -11 and
Ordered pair (-13, -11) is the solution for this sytem of equations