Before, we learned how to solve systems with two equations and two unknowns...  2 x 2's.

Here's an example of the type we solved:

    x + y = 3

x - 2y = 0

Remember that these are two lines:

graph of x + y = 3 and x - 2y = 0 ... the point of intersection is ( 2 , 1 )The point where the two lines intersect is the solution:

( 2 , 1 )

So, x = 2 and y = 1 work in BOTH equations.

Now, we're going to do 3 x 3's -- systems with three equations and three unknowns.

Like this guy:

   x - y + z = 7

2x + 3y - z = -8

 4x + y - 2z = -6