Answer
CE = 10/3
EA = 8/3
Work Step by Step
We first create a proportion, and then we substitute:
$\frac{BC}{BF} = \frac{AC}{FA} \\ \frac{5}{BF} = \frac{4}{6 - BF} \\BF =30/9 = 10/3$
Since FA equals $6 - BF$, it follows:
$EA = \frac{18}{3} - \frac{10}{3} = 8/3$