Answer
The solution is $(2, 0)$.
Work Step by Step
We can combine the two equations:
$2x + y = 4$
$3x - y = 6$
Add the equations together:
\begin{align*}
2x + y = 4\\
\underline{3x - y = 6}\\
5x = 10
\end{align*}
Divide both sides of the equation by $5$:
$$x = 2$$
Plug this value for $x$ into the first equation to find $y$:
$$2(2) + y = 4\\
4 + y = 4\\
y=0$$
The solution is $(2, 0)$.
