## Precalculus (10th Edition)

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.