Answer
Infinitely many solutions.
Work Step by Step
Using the test point \[\left( 0,0 \right)\] for each inequality.
\[3x+y\le 9\], includes origin, includes solid line \[3x+y=9\].
\[3x+y\ge 9\], doesn’t include origin, includes solid line \[3x+y=9\].
The line \[3x+y=9\] is included in both inequalities. So, there are infinitely many solutions for the system.
