Step 1 :Substitute the given point into the system of equations and check if both equations are satisfied.
Step 2 :For the first equation, substituting $(-4,9)$ gives $4+9=13$, which is not equal to $5$. So, the first equation is not satisfied.
Step 3 :For the second equation, substituting $(-4,9)$ gives $-8-9=-17$, which is equal to $-17$. So, the second equation is satisfied.
Step 4 :Since the first equation is not satisfied by the point $(-4,9)$, the point is not a solution to the system of equations.
Step 5 :Final Answer: The statement "The point $(-4,9)$ is the solution to the system below" is \(\boxed{False}\).