Answer
See below.
Work Step by Step
If $(2,3)$ is a solution of a system of inequalities in $x$ and $y$, then plugging in $x=2,y=3$ into each inequality satisfies the expression.
Plugging in $x=2,y=3$ into the first inequality, we get:
$2(2)+4(3)=4+12=16\leq17$
Thus, this is satisfied.
Plugging in $x=2,y=3$ into the second inequality, we get:
$6(2)+5(3)=12+15=27\leq29$
Thus, this is also satisfied.