1. **Stating the problem:** We want to determine the type of solution a system of equations has if its two lines are parallel. 2. **Understanding parallel lines:** Parallel lines have the same slope but different y-intercepts. 3. **Implication for solutions:** Since the lines never intersect, the system has no point in common. 4. **Conclusion:** A system of equations with parallel lines has **no solution** because the lines never meet.