## Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

$\text{The system is inconsistent.}$
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} $\text{The statement } 0=1 \text{is false, therefore the system is inconsistent.}$