Answer
$25$ and $10$ dollars.
Work Step by Step
Step 1. Assume the basic charge is $x$ and the charge for each movie channel is $y$; we have
$\begin{cases}x+y=35\\x+2y=45 \end{cases} $
Step 2. Taking the difference of the two equations, we have $y=10$ and $x=25$ dollars.
Step 3. The basic charge is $25$ and the charge for each movie channel is $10$ dollars.
