**Solving 3 x 3 systems of equations works a lot like the 2 x 2 method of elimination -- with a little substitution mixed in. It really isn't hard, but it takes good organization skills. The problems are a bit long, but I'll show you how to work through them and how to keep things organized.**

**Instead of starting out by working through an entire problem (which would look pretty creepy), let's start with some that are almost finished already.**

**Remember that our goal is to find the values for x, y and z. (or whatever letters you have.)**

**Let's finish solving this guy... As you can see, we already know what zis!**

**What we're going to do is called "back substitution" because we're going to work our way back up through the equations, starting at the bottom with that z.**

**Take the value for z and stick it into the equation with two variables... This will pop the y!**