OpenSAT

To solve for $x+y$, we can add the two equations together. Adding the left sides gives us $(3x + 4y) + (2x - 3y) = 5x + y$. Adding the right sides gives us $17 + 9 = 26$. Therefore, $5x + y = 26$. Dividing both sides by 5 gives us $x + y = \frac{26}{5}$, or $x + y = 5.2$. Since the answer must be a whole number, we round 5.2 to the nearest whole number, 5. Therefore, $x + y = 5$.