1. **Stating the problem:** We are given the system of equations: $$x = y - 8$$ $$x - y = 0$$ and asked to find the solution. 2. **Rewrite the second equation:** From $$x - y = 0$$, we can write: $$x = y$$ 3. **Substitute into the first equation:** Since $$x = y$$, substitute into $$x = y - 8$$: $$y = y - 8$$ 4. **Simplify the equation:** Subtract $$y$$ from both sides: $$\cancel{y} = \cancel{y} - 8$$ $$0 = -8$$ 5. **Interpret the result:** The statement $$0 = -8$$ is false, which means there is no value of $$x$$ and $$y$$ that satisfies both equations simultaneously. 6. **Conclusion:** The system has **no solution**; the lines are parallel and do not intersect.