1. **State the problem:** Solve the equation $$2x - y = 18$$ first for $$x$$, then for $$y$$. 2. **Solve for $$x$$:** Start with the equation: $$2x - y = 18$$ Add $$y$$ to both sides to isolate terms with $$x$$: $$2x = 18 + y$$ Divide both sides by 2 to solve for $$x$$: $$x = \frac{18 + y}{2}$$ Show cancellation step: $$x = \frac{\cancel{2}(9 + \frac{y}{2})}{\cancel{2}}$$ (simplified to previous step) 3. **Solve for $$y$$:** Start again with the original equation: $$2x - y = 18$$ Subtract $$2x$$ from both sides: $$-y = 18 - 2x$$ Multiply both sides by $$-1$$ to solve for $$y$$: $$y = -18 + 2x$$ Show cancellation step: $$y = -\cancel{1}(18 - 2x)$$ (simplified to previous step) **Final answers:** $$x = \frac{18 + y}{2}$$ $$y = -18 + 2x$$