Final answer:
The system of equations does not have a solution because the lines are parallel due to having different y-intercepts.
Step-by-step explanation:
To determine whether the system of equations has a solution, we need to check if the lines represented by the equations have the same slope and y-intercept. In this case, both equations have the same slope of -3/2, but different y-intercepts: 4 and -2. Since the lines have different y-intercepts, they are parallel and will never intersect. Therefore, the system of equations does not have a solution.