1. **State the problem:** Find the ordered pair $(x,y)$ that satisfies both equations: $$x = -5y + 27$$ $$x = -3 + y$$ 2. **Set the equations equal:** Since both equal $x$, set the right sides equal: $$-5y + 27 = -3 + y$$ 3. **Solve for $y$:** Add $5y$ to both sides: $$\cancel{-5y} + 27 + 5y = -3 + y + 5y$$ $$27 = -3 + 6y$$ Add $3$ to both sides: $$27 + 3 = -3 + 3 + 6y$$ $$30 = 6y$$ Divide both sides by $6$: $$\frac{30}{\cancel{6}} = \frac{6y}{\cancel{6}}$$ $$5 = y$$ 4. **Find $x$:** Substitute $y=5$ into one of the original equations, e.g., $x = -3 + y$: $$x = -3 + 5 = 2$$ 5. **Final answer:** The ordered pair is $$(2, 5)$$ This ordered pair satisfies both equations.