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Solve Linear Systems by Graphing

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Presentation on theme: "Solve Linear Systems by Graphing"— Presentation transcript:

1 Solve Linear Systems by Graphing
Section 7.1

2 Objectives: Solve systems of linear equations by graphing.

3 Key Vocabulary: System of linear equations
Solution of system of linear equations Consistent and independent system

4 Definition: System of Linear Equations, Solution of Systems
A system of linear equations consists of two or more linear equations in the same variables. A solution of a system of linear equations in two variables is an ordered pair that satisfies each equation in the system.

5 Example 1: Use the graph to solve the system. Then check your solution algebraically.

6 Definition: Consistent and Independent
A linear system that has exactly one solution is called a consistent and independent system.

7 Example 2: Solve the linear system.

8 #1: Solve the linear system by graphing. Check your solution.

9 #2: Solve the linear system by graphing. Check your solution.

10 #3: Solve the linear system by graphing. Check your solution.

11 Homework Assignment Section 7.1 Worksheet


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