Answer
The system has no solution.
Work Step by Step
So, from equation (II), put the value of y in the equation (I) and solve for x,
$\begin{align}
& 6x+2\left( 2-3x \right)=7 \\
& 6x+4-6x=7 \\
\end{align}$
$4=7$ (III)
Since, according to the equation (III) $4=7$ indicates that the system is inconsistent and has no solution. So, the solution set is the empty set.
Thus, the system has no solution.
