Solve the Problem $\frac { \mathrm { dx } } { \mathrm { dt } } = ( - 5 + 6 \mathrm { y } ) \mathrm { x }$

Multiple Choice

Solve the problem.
-The system of equations $\frac { \mathrm { dx } } { \mathrm { dt } } = ( - 5 + 6 \mathrm { y } ) \mathrm { x }$ and $\frac { \mathrm { dy } } { \mathrm { dt } } = ( - 5 + \mathrm { x } ) \mathrm { y }$ describes the growth rates of two symbiotic (dependent) species of animals (such as the rhinoceros and a type of bird which eats insects from its back) . What happens to the rhinoceros population when the bird population decreases?

A) The rhinoceros population increases.
B) The rhinoceros population stays the same.
C) The rhinoceros population could either increase or decrease.
D) The rhinoceros population decreases.