1. **State the problem:** We are given two linear equations: $$y = 5 + 6x$$ and $$y = 6x + 5$$ 2. **Identify the problem type:** These two equations represent lines. We want to analyze or solve the system. 3. **Check if the lines are the same or different:** Notice both equations are actually the same because addition is commutative: $$5 + 6x = 6x + 5$$ 4. **Conclusion:** Since both equations represent the same line, every point on one line is also on the other. Thus, the system has infinitely many solutions. 5. **Summary:** The two equations describe the same line, so the system is dependent and consistent with infinite solutions.