Answer
The solution is $(3, 1)$.
Work Step by Step
Add the equations together:
\begin{align*}
2x + y = \space \space7\\
\underline{-2x + 5y = -1}\\
6y=6
\end{align*}
Divide both sides of the equation by $6$:
$$y = 1$$
Substitute this value for $y$ into the first equation to find $x$:
$$2x + 1 = 7\\
2x = 6\\
x=\frac{6}{2}\\
x=3$$
The solution is $(3, 1)$.
