Get out your 3.3 Worksheet!

You will be able to find solve systems of linear equations with 3 variables ().

Today’s Objectives:

Warm UpSolve the system of equations.

3.4 Systems in Three VariablesYou are familiar with a 2D coordinate plane. It is has an x-axis and a y-axis.

𝒙

𝒚

Z-Axis

Today we add a third dimension. The z-axis.

Solving Systems

Solving systems in three variables is similar to solving systems with two variables.

Methods

Use the substitution or elimination method to solve a system of three variables.

Graphing will not be helpful.

Example #1

Solve the system of equations.

Example #2

Solve the system of equations.

Example #3

Solve the system of equations.

Example #4

Solve the system of equations.

GROUP WORK

Grab a book and turn to pg.165

As a group work through #3.

Help each other.

Compare answers.

Solve each system of equations

Group Work #3

(−𝟒 ,𝟑 ,𝟔)

Homework

Lesson 3.4Pg.165#’s 8, 10, 14, 15