1. **State the problem:** Solve the system of equations: $$x = y + 7$$ $$2x + y = 8$$ 2. **Use substitution method:** Since $x$ is expressed in terms of $y$ in the first equation, substitute $x = y + 7$ into the second equation. 3. **Substitute and simplify:** $$2(y + 7) + y = 8$$ $$2y + 14 + y = 8$$ $$3y + 14 = 8$$ 4. **Isolate $y$:** $$3y = 8 - 14$$ $$3y = -6$$ 5. **Divide both sides by 3:** $$y = \frac{-6}{3}$$ $$y = -2$$ 6. **Find $x$ using $x = y + 7$:** $$x = -2 + 7$$ $$x = 5$$ 7. **Final answer:** $$\boxed{(x, y) = (5, -2)}$$