Answer
The system has infinitely many solutions.
Work Step by Step
We have to use the elimination method to solve provided system of equations. Multiply equation (II) by 2 and subtract from equation (I),
$\begin{align}
& \left( 4x-2y \right)-\left( 4x-2y \right)=2-2 \\
& 0=0
\end{align}$
So, according to equation (III), $0=0$ indicates that the system has infinitely many solutions.