OpenSAT

To solve for x + y, we can use elimination. Multiplying the second equation by 3, we get \(3x - 3y = 6\). Adding this equation to the first equation, we get \(5x = 13\). Dividing both sides by 5, we get \(x = \frac{13}{5}\). Substituting this value back into the equation \(x - y = 2\), we get \(\frac{13}{5} - y = 2\). Solving for y, we get \(y = \frac{3}{5}\). Therefore, \(x + y = \frac{13}{5} + \frac{3}{5} = \frac{16}{5}\), or 3.2. The closest answer choice is 5.