1. The problem is to graph the system of equations and find their solution: $$y = -6 + x$$ $$y = x - 6$$ 2. Notice that both equations are actually the same because $-6 + x$ is the same as $x - 6$. This means the two lines are identical. 3. When two lines are identical, they overlap completely, so there are infinitely many solutions because every point on the line satisfies both equations. 4. Therefore, the solution to the system is \textbf{infinitely many solutions}. 5. In summary: - The system represents the same line. - The graph shows one line. - The solution is all points on that line. Final answer: \textbf{Infinitely many solutions}