1. **State the problem:** Solve the system of equations using the equalization method. Given: $$y = 3x + 5$$ $$y = 2x + 2$$ 2. **Formula and rule:** Equalization involves setting the expressions for $y$ equal to each other since both equal $y$. 3. **Set equal:** $$3x + 5 = 2x + 2$$ 4. **Solve for $x$:** $$3x + 5 = 2x + 2$$ $$3x - 2x = 2 - 5$$ $$x = -3$$ 5. **Substitute $x = -3$ into one of the original equations to find $y$:** Using $$y = 3x + 5$$: $$y = 3(-3) + 5 = -9 + 5 = -4$$ 6. **Solution:** $$x = -3, y = -4$$ --- 1. **State the problem:** Solve the equation: $$x = 4 - 2y$$ This is a single equation with two variables, so it cannot be solved uniquely without another equation. --- **Final answers:** For the system: $$x = -3, y = -4$$ For the single equation: No unique solution without additional information.