dx/dt= 0.02x(1-(x/80))+0.004xy

dy/dt= 0.04y(1-y/20)-0.0002xy

How can I Find all equilibrium points algebraically. I've tried setting them equal to zero but my equations make no sense. I got

x=8+16y and y=20-x

but i'm not sure i'm right. please help. Thanks