1. **State the problem:** Solve the equation $x - y = 11$ for one variable in terms of the other. 2. **Formula and rules:** This is a linear equation in two variables. To express one variable in terms of the other, isolate the variable on one side. 3. **Isolate $x$:** $$x = y + 11$$ 4. **Isolate $y$:** $$y = x - 11$$ 5. **Explanation:** You can express $x$ as $y + 11$ or $y$ as $x - 11$. This means for any value of $y$, $x$ is 11 more, and vice versa. **Final answers:** $$x = y + 11$$ $$y = x - 11$$