Determine if the ordered pair $(18,0)$ is a solution of the system of linear inequalities $\{\begin{array}{l}3x-y>4\\ x+6y\le 9\end{array}$ .

A) not a solution
B) solution

For the first inequality, plugging in the values $(18,0)$, we get:
$3(18)-0>4$ which simplifies to $54>4$
This is true!

For the second inequality, plugging in the values $(18,0)$, we get:
$18+6(0) \leq 9$ which simplifies to $18 \leq 9$
This is false!

So the ordered pair $(18,0)$ does not satisfy the system of linear inequalities and is not a solution. Therefore, the answer is choice A.