Find all Equilibrium points for the following systems.

[killersanta]

Homework Statement

Find all Equilibrium points for the following systems.

B. dx/dt = 5x - x^2 - 3xy

dy/dt = 8y - 3xy - 3y^2

The Attempt at a Solution

0 = x(x + 3y - 5)
0 = y(y + x - 8/3)

Equilibrium points: (0,0) but I can't find anymore? is (0,0) the only one?

 

[iamalexalright]

you have two equations for two unknowns:
x + 3y - 5 = 0
y + x - 8/3 = 0

solve for one of the variables and plug it into the other equation

 

[killersanta]

Thank you.