Answer
Inconsistent
Work Step by Step
We are given the system of equations:
$\begin{cases}
2x+y=1\\
4x+2y=3
\end{cases}$
Use the elimination method. Multiply the first equation by -2, and add it to the second equation to eliminate $x$ and determine $y$:
$\begin{cases}
-2(2x+y)=-2(1)\\
4x+2y=3
\end{cases}$
$\begin{cases}
-4x-2y=-2\\
4x+2y=3
\end{cases}$
$-4x-2y+4x+2y=-2+3$
$0=1$
As we got a false statement, the system has no solution. Therefore it is inconsistent.
