This linear system is special - it is actually the linearization of the nonlinear completing species model that we saw in class, centered around the equilibrium point (80, 250):

x ' = 5/4 x (1 x/200) (3/1000)xy

y' = 3y (1 y/ 500) (3/160) xy

This means that the information we have about the equilibrium solution (0, 0) from part (a) gives us information about what's happening to our competing species model at the equilibrium point (80, 250), at least if we stay very near that point. So - what does this mean for the population of our two species if the populations are close to x = 80 and y = 250? Explain.