1. The problem gives three equations: $c e = 10$, $f e = -2$, and $i e = \frac{1}{5}$. We need to understand how to solve for the variables. 2. Since each equation involves a product of two variables, and $e$ is common in all, we can try to solve for $e$ first or express other variables in terms of $e$. 3. From the first equation, $c e = 10$, we can write $c = \frac{10}{e}$. 4. From the second equation, $f e = -2$, we can write $f = \frac{-2}{e}$. 5. From the third equation, $i e = \frac{1}{5}$, we can write $i = \frac{1}{5 e}$. 6. Without additional information or constraints, we cannot find unique values for $c$, $f$, $i$, and $e$ individually, but we can express $c$, $f$, and $i$ in terms of $e$ as above. 7. If you want to find $e$, you need more equations or values for $c$, $f$, or $i$. In summary, the solution expresses $c$, $f$, and $i$ in terms of $e$: $$ c = \frac{10}{e}, \quad f = \frac{-2}{e}, \quad i = \frac{1}{5 e} $$ This is the best we can do with the given information.