Answer
The system has infinitely many solutions.
Work Step by Step
We have to use the elimination method to solve the provided linear system. Multiply equation (I) by 3 and subtract from equation (II)
$\begin{align}
& \left( 3x+9y \right)-\left( 3x+9y \right)=6-6 \\
& 0=0
\end{align}$
So, according to equation (III) $0=0$ indicates that the system has infinitely many solutions.
Thus, the system has infinitely many solutions.
