For this case we have the following system of equations:
[tex]-3x + 3y = 4\\y = x + 3[/tex]
Substituting the second equation into the first we have:
[tex]-3x + 3 (x + 3) = 4\\-3x + 3x + 9 = 4\\9 = 4[/tex]
The equality is not fulfilled, therefore the system has no solution.
The lines do not intersect.
Answer:
The system has no solution.