Suppose That We Model Populations of Predators and Preys (In $\begin{array} { l } \frac { d x } { d t } = 2 x - 1.2 x y \\\frac { d y } { d t } = - y + 0.9 x y\end{array}$

Multiple Choice

Suppose that we model populations of predators and preys (in millions) 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 equilibrium solution.

A) $x = \frac { 10 } { 9 } , y = \frac { 3 } { 5 }$
B) $x = \frac { 9 } { 10 } , y = \frac { 3 } { 5 }$
C) $x = \frac { 5 } { 9 } , y = \frac { 3 } { 10 }$
D) $x = \frac { 5 } { 3 } , y = \frac { 10 } { 9 }$
E) $x = \frac { 10 } { 9 } , y = \frac { 5 } { 3 }$
F) $x = \frac { 10 } { 3 } , y = \frac { 9 } { 5 }$
G) $x = \frac { 3 } { 9 } , y = \frac { 3 } { 5 }$
H) $x = \frac { 3 } { 5 } , y = \frac { 10 } { 9 }$