Find the union of the solutions to the following system of equations: \n 1. \(2x + y = 10\) \n 2. \(x - y = 3\)

Step 1 ：First, solve the system of equations. Add the two equations together: \(2x + x + y - y = 10 + 3\), which simplifies to \(3x = 13\). Divide both sides by 3 to solve for x: \(x = \frac{13}{3}\)

Step 2 ：Next, substitute \(x = \frac{13}{3}\) into the first equation: \(2(\frac{13}{3}) + y = 10\). Simplify to \(\frac{26}{3} + y = 10\), which further simplifies to \(y = 10 - \frac{26}{3} = \frac{4}{3}\)

Step 3 ：The solution to the system of equations is \((x, y) = (\frac{13}{3}, \frac{4}{3})\). This is the only point that is a solution to both equations, so the union of the solutions to the system of equations is just this one point