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Solve Systems of Linear Equations in Three Variables

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Presentation on theme: "Solve Systems of Linear Equations in Three Variables"— Presentation transcript:

1 Solve Systems of Linear Equations in Three Variables
SECTION 3.4 Solve Systems of Linear Equations in Three Variables

2 California Standard: 2.0: Students solve a system of two linear equations in two variables algebraically and are able to interpret the answer graphically. Students are able to solve a system of two linear inequalities in two variables and to sketch the solutions sets.

3 OBJECTIVE(S): By following instructions, students will be able to:
Solve systems of linear equations in three variables.

4 Def: A linear equation in three variables x, y, and z is an equation of the form where a, b, and c are not all zero. Def: A solution of a system of linear equations in three variables is an ordered triple.

5

6 EXAMPLE 1: Solve the system.

7 EXAMPLE 2: Solve the system.

8 EXAMPLE 3: Solve the system.

9 U-TRY #1: Graph the system of linear inequalities. a) c) b)

10 HOMEWORK Sec 3.4 WS


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