Today’s Objectives:. Warm Up 3.4 Systems in Three Variables You are familiar with a 2D coordinate...

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Get out your 3.3 Worksheet ! You will be able to find solve systems of linear equations with 3 variables (). Today’s Objectives:

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Transcript of Today’s Objectives:. Warm Up 3.4 Systems in Three Variables You are familiar with a 2D coordinate...

Page 1: Today’s Objectives:. Warm Up 3.4 Systems in Three Variables You are familiar with a 2D coordinate plane. It is has an x-axis and a y-axis.

Get out your 3.3 Worksheet!

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

Today’s Objectives:

Page 2: Today’s Objectives:. Warm Up 3.4 Systems in Three Variables You are familiar with a 2D coordinate plane. It is has an x-axis and a y-axis.

Warm UpSolve the system of equations.

Page 3: Today’s Objectives:. Warm Up 3.4 Systems in Three Variables You are familiar with a 2D coordinate plane. It is has an x-axis and a y-axis.

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

Page 4: Today’s Objectives:. Warm Up 3.4 Systems in Three Variables You are familiar with a 2D coordinate plane. It is has an x-axis and a y-axis.

Z-Axis

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

Page 5: Today’s Objectives:. Warm Up 3.4 Systems in Three Variables You are familiar with a 2D coordinate plane. It is has an x-axis and a y-axis.

Solving Systems

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

Page 6: Today’s Objectives:. Warm Up 3.4 Systems in Three Variables You are familiar with a 2D coordinate plane. It is has an x-axis and a y-axis.

Methods

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

Graphing will not be helpful.

Page 7: Today’s Objectives:. Warm Up 3.4 Systems in Three Variables You are familiar with a 2D coordinate plane. It is has an x-axis and a y-axis.

Example #1

Solve the system of equations.

Page 8: Today’s Objectives:. Warm Up 3.4 Systems in Three Variables You are familiar with a 2D coordinate plane. It is has an x-axis and a y-axis.

Example #2

Solve the system of equations.

Page 9: Today’s Objectives:. Warm Up 3.4 Systems in Three Variables You are familiar with a 2D coordinate plane. It is has an x-axis and a y-axis.

Example #3

Solve the system of equations.

Page 10: Today’s Objectives:. Warm Up 3.4 Systems in Three Variables You are familiar with a 2D coordinate plane. It is has an x-axis and a y-axis.

Example #4

Solve the system of equations.

Page 11: Today’s Objectives:. Warm Up 3.4 Systems in Three Variables You are familiar with a 2D coordinate plane. It is has an x-axis and a y-axis.

GROUP WORK

Grab a book and turn to pg.165

As a group work through #3.

Help each other.

Compare answers.

Page 12: Today’s Objectives:. Warm Up 3.4 Systems in Three Variables You are familiar with a 2D coordinate plane. It is has an x-axis and a y-axis.

Solve each system of equations

Group Work #3

(−𝟒 ,𝟑 ,𝟔)

Page 13: Today’s Objectives:. Warm Up 3.4 Systems in Three Variables You are familiar with a 2D coordinate plane. It is has an x-axis and a y-axis.

Homework

Lesson 3.4Pg.165#’s 8, 10, 14, 15


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