Suppose That We Model Populations of Aphids and Ladybugs with the System

Suppose that we model populations of aphids and ladybugs with the system of differential equations: $\begin{array} { l } \frac { d A } { d t } = 3 A - 0.01 A L \\\frac { d L } { d t } = - 0.5 L + 0.0001 A L\end{array}$ Find the expression for $\frac { d A } { d L }$ .

A) $\frac { - 0.5 L + 0.0001 A L } { 3 A - 0.01 A L }$
B) $\frac { 0.5 L - 0.0001 A L } { 3 A - 0.01 A L }$
C) $\frac { - 3 A + 0.01 A L } { - 0.5 + 0.0001 A L }$
D) $\frac { 3 A - 0.01 A L } { - 0.5 L + 0.0001 A L }$
E) $\frac { - 0.5 L + 0.0001 A L } { - 3 A + 0.01 A L }$
F) $\frac { - 0.5 L + 0.0001 A L } { - 3 A - 0.01 A L }$
G) $\frac { 3 A - 0.01 A L } { 0.5 L - 0.0001 A L }$
H) $\frac { 3 A - 0.01 A L } { - 0.5 L - 0.0001 A L }$