I'm not comfortable with having two " = " signs in the same equation, at least not in this situation.
You apparently meant to type in the system of linear equations
3x + 2y = 7
 x  -   y  = -3
but did not separate 3x + 2y = 7 and  x  -   y  = -3 with a comma as required.
I will assume that you meant to share:
3x + 2y = 7
 x  -   y  = -3              This system of linear equations has a solution, but there 
                                 will be no "resulting equation."
Please ensure that you have copied down this problem exactly as it was originally presented.  Explain what we are to do with
3x + 2y = 7 x - y + 3 = 0:     How do we interpret this?