Answer
The system of equations has no solution.
Work Step by Step
Let us consider the first inequality and put a test point $\left( 0,0 \right)$ in this inequality to check whether it satisfies the inequality or not as given below:
$\begin{align}
& y<9-3x \\
& 0<9-0 \\
& 0<0 \\
\end{align}$
Also, consider the second inequality and put a test point $\left( 0,0 \right)$ in this inequality to check whether it satisfies the inequality or not as given below:
$\begin{align}
& y>9-3x \\
& 0>9-0 \\
& 0>0 \\
\end{align}$
Both inequalities are incorrect for the test point $\left( 0,0 \right)$.
Hence, the provided set of inequalities has no solutions in common, as in one equation one side will be shaded and in another equation the opposite region will be shaded.
Hence, there is no solution.
