1. **State the problem:** We need to find the solution to the system of equations by graphing: $$\begin{cases} y = 3x - 4 \\ y = 3x - 5 \end{cases}$$ 2. **Recall the formula and rules:** Each equation represents a line in slope-intercept form $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept. 3. **Analyze the slopes:** Both lines have the same slope $m = 3$, but different y-intercepts: $-4$ and $-5$. 4. **Interpretation:** Lines with the same slope but different y-intercepts are parallel and never intersect. 5. **Conclusion:** Since the lines do not intersect, the system has **no solution**. **Final answer:** The system of equations has no solution because the lines are parallel and do not intersect.