1. **State the problem:** We are given two equations: $$6x - 5y = 12$$ and $$6 = -2 + 20$$ 2. **Analyze the second equation:** Simplify the right side: $$-2 + 20 = 18$$ So the equation becomes: $$6 = 18$$ This is a false statement, meaning the second equation is inconsistent. 3. **Conclusion:** Since the second equation is false, there is no solution that satisfies both equations simultaneously. Therefore, the system of equations has no solution.