# Class Greeting. Chapter 8 Systems of Linear Equations and Inequalities Lesson 8-1a Solving Systems Equations by Graphing 1.Determine if a system of equations.

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Class Greeting

Chapter 8 Systems of Linear Equations and Inequalities Lesson 8-1a Solving Systems Equations by Graphing 1.Determine if a system of equations has 0,1, or infinitely many solutions 2.Solve systems of equations by graphing

Objective: Students will review the slope- intercept equation. Students will be introduced to solving systems of equations using graphing.

System of 2 Linear Equations 3 possible types of solution – No solution – 1 solution – Infinite solutions

Example 1-2b Graph the system of equations. Does the system have infinitely many solutions, one solution, or no solution? If the system has one solution, name it. Answer: one solution; (x, y ) = (0, 3) 1 slope: m = 2 UP 2 OVER 1 y – intercept: b = 3 1 UP 1 2 OVER 2 slope: m =

Example 1-2a no solution Graph the system of equations. Does the system have infinitely many solutions, one solution, or no solution? If the system has one solution, name it. Answer: x 0 4 y -2 0 x 0 y 1 0 2

Example 1-2a infinitely many solutions Graph the system of equations. Does the system have infinitely many solutions, one solution, or no solution? If the system has one solution, name it. Answer: x 0– 3/2 y 3 0 x 0 y 3 0 3

Example 1-1a Use the graph to determine whether the system has no solution, one solution, or infinitely many solutions. Answer: one solution; (2, –1)

Example 1-1a Use the graph to determine whether the system has no solution, one solution, or infinitely many solutions. Answer: no solution

Example 1-1a Use the graph to determine whether the system has no solution, one solution, or infinitely many solutions. Answer: infinitely many solutions

Use the graph to determine whether each system has no solution, one solution, or infinitely many solutions. a. b. c. Example 1-1b Answer: one Answer: no solution Answer: infinitely many

Example 1-2b Answer: no solution Graph the system of equations. Then determine whether the system has no solution, one solution, or infinitely many solutions. If the system has one solution, name it.

Lesson Summary: Objective: Students will review the slope- intercept equation. Students will be introduced to solving systems of equations using graphing.

Preview of the next Lesson: Objective: Students will solve real world word problems involving solving systems of equations using graphing.

Homework 446+447/3,7,11...31