Answer
$\text{The system is inconsistent.}$
Work Step by Step
The system of equations is given by the following two equations:
$$\begin{cases}
2x+y=1 \hspace{20pt} (1)\\[3mm]
4x+2y=3 \hspace{20pt} (2)
\end{cases}$$
gives:
$\text{Therefore, we add the two equations to eliminate y}$
\[
\begin{aligned} -4x-2y&=-2\\[2mm]
4x+2y&=3 \\[3mm]
\hline 0&=1 \\[2mm]
\end{aligned}
\]
$\text{The statement } 0=1 \text{is false, therefore the system is inconsistent.}$
