Systems of differential equations and equilibrium points...

Hi again guys, hope you can help with this simple question...

I am up to systems of differential equations and their resulting equilibrium points.

Now, when faced with finding their equilibrium points, is the a simple way of knowing how many points we will find or are looking for:

I am currently only up to working on two differential equations. The ones am working on are also linear.

I am guessing that because they both only linear, I will have 2x equilibrium points?