### Types of solutions

for systems of planes (3 variable equations)

#### What is a solution of system of equations with 3 variables?

**Solution for system of lines**

Just as the solution system of lines is where those lines meet, a solution for a system of 3 variable equations (planes), is again, just where these planes meet.

read more here#### Why are we going to use 3 planes?

If you want to solve an equation with 2 variables, you need 2 equations.

You can's solve x + y =1 , right? That's because you 1 equation with 2 variables

Similarly, if you have an equation with 3 variables, (3 planes), you're going to need 3 equations to solve it

### Two important terms

Means that there is at least 1 intersection (solutions)

Means that there are no intersections(solutions)

#### Ok, so how do we find that point of intersection?

Before attempting to solve systems of three variable equations using elimination, you should probably be comfortable solving 2 variable systems of linear equations using elimination.