1. 3.6 Systems with Three Variables
Great ability develops and reveals itself increasingly with every new assignment.

2. Review!!! slope y - intercept Same Different Same Same Different
Doesn’t matter

3. Now in 3D!!! No Solution because no point lies in all 3 planes
One Solution because only 1 point lies in all 3 planes
Infinitely Many Solutions because the planes intersect at all of the points along a common line

4. Solving by Elimination
Pair equations to eliminate one variable
Write the two new equations as a system and solve for the remaining 2 variables
Substitute those values into one of the original equations and solve for the third variable
CHECK!! 

5. Solving by Elimination

6. Solving by Substitution
Choose one equation to solve for one of its variables
Substitute the expression for that variable into each of the other 2 equations
Write the 2 new equations as a system and solve for the two remaining variables
Substitute your 2 values into an original equation and solve for the third
CHECK!! 

7. 3.6 Systems with Three Variables
HW: #1, 3, 5, 11, 13, 20, 21
Great ability develops and reveals itself increasingly with every new assignment.