Suppose That We Model Populations (In Millions) of Predators and Preys

Suppose that we model populations (in millions) of predators and preys with the system of differential equations: $\begin{array} { l } \frac { d x } { d t } = 2 x - 1.2 x y \\\frac { d y } { d t } = - y + 0.9 x y\end{array}$ Find the expression for $\frac { d y } { d x }$ .

A) $\frac { 2 x - 1.2 x y } { - y + 0.9 x y }$
B) $\frac { - 2 x + 1.2 x y } { - y + 0.9 x y }$
C) $\frac { 2 x - 1.2 x y } { y - 0.9 x y }$
D) $\frac { 2 x - 1.2 x y } { - y - 0.9 x y }$
E) $\frac { y - 0.9 x y } { 2 x - 1.2 x y }$
F) $\frac { - y + 0.9 x y } { 2 x - 1.2 x y }$
G) $\frac { - y + 0.9 x y } { - 2 x + 1.2 x y }$
H) $\frac { - y + 0.9 x y } { - 2 x - 1.2 x y }$

Correct Answer:

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