Consider the system

$$\begin{array}{rl} -2 x - 8 y &= 0, \\ 4 x+16 y &= 2. \\ \end{array}$$
(a) How many solutions does the system have? Write 0 if there are no solutions, 1 if there is a unique solution, or "Infinity" if there are infinitely many solutions.

(b) What are the solution to the system? If there are no solutions, write "No Solution" or "None" for each answer. If there are infinitely many solutions let $y = t$ and solve for $x$ in terms of $t$.

$x=$
$y=$

(Note: Words such as "Infinity" and "None" should be entered without quotes.)