Solve the system of equations: $$\begin{cases} x + 2 = 9 \\ 2x - 1 = 13 \end{cases}$$

The system of equations is: $$\begin{cases} x + 2 = 9 \\ 2x - 1 = 13 \end{cases}$$ Let's solve each equation separately: 1) $$x + 2 = 9$$ Subtract 2 from both sides: $$x = 9 - 2$$ $$x = 7$$ 2) $$2x - 1 = 13$$ Add 1 to both sides: $$2x = 13 + 1$$ $$2x = 14$$ Divide both sides by 2: $$x = \frac{14}{2}$$ $$x = 7$$ Since both equations yield the same value for x, the solution is x = 7. Answer: x = 7