1. **State the problem:** We need to solve the system of equations graphically: $$y = 2x - 5$$ $$y = -x - 8$$ 2. **Recall the method:** The solution to a system of equations graphically is the point(s) where the lines intersect. 3. **Plot each line:** - For $$y = 2x - 5$$, the slope is 2 and the y-intercept is -5. - For $$y = -x - 8$$, the slope is -1 and the y-intercept is -8. 4. **Find the intersection algebraically to confirm:** Set the right sides equal: $$2x - 5 = -x - 8$$ 5. **Solve for $$x$$:** $$2x + x = -8 + 5$$ $$3x = -3$$ $$x = \frac{-3}{3}$$ $$x = -1$$ 6. **Find $$y$$ by substituting $$x = -1$$ into one equation:** $$y = 2(-1) - 5 = -2 - 5 = -7$$ 7. **Conclusion:** The lines intersect at the point $$(-1, -7)$$. This is the graphical solution to the system.