1. **State the problem:** Determine whether the ordered pair $(1,5)$ is a solution to the system of equations: $$-5m + 6n = 25$$ $$-7m + 8n = 33$$ 2. **Substitute the values:** Substitute $m=1$ and $n=5$ into both equations. For the first equation: $$-5(1) + 6(5) = -5 + 30 = 25$$ For the second equation: $$-7(1) + 8(5) = -7 + 40 = 33$$ 3. **Check if both equations hold true:** Both equations simplify to the right-hand side values given, so the ordered pair satisfies both equations. 4. **Conclusion:** Since the ordered pair $(1,5)$ satisfies both equations, it is a solution to the system. **Final answer:** Yes, $(1,5)$ is a solution to the system.