Lesson 3.1 Graphing Systems.notebook October 19, 2011 3.1 Graphing Systems of Equations Objective: Be able to solve systems of equations using graphing Oct 19­7:44 AM 1 Lesson 3.1 Graphing Systems.notebook October 19, 2011 Systems of Equations Definition: Three Ways to Solve: 1. { y = x + 3 2. y = ­2x + 3 3. Oct 20­8:20 AM 2 Lesson 3.1 Graphing Systems.notebook October 19, 2011 { y = x + 3 y = ­2x + 3 Oct 19­7:49 AM 3 Lesson 3.1 Graphing Systems.notebook October 19, 2011 { Which ordered pair of numbers is the solution to the system? x + 2y = ­7 2x ­ 3y = 0 a. (1, ­4) Graph to check b. (­1, ­3) c. (­6, ­4) d. (­3,­2) Oct 20­8:42 AM 4 Lesson 3.1 Graphing Systems.notebook October 19, 2011 3 Types of systems 1. Independent 2. Dependent 3. Inconsistent Oct 20­8:47 AM 5 Lesson 3.1 Graphing Systems.notebook October 19, 2011 Without graphing, classify each system as independent, dependent or inconsistent { y ­ 3x = 2 ­6x + 2y =4 { 3x + y = 5 15x ­ 2 = ­5y Oct 20­8:54 AM 6 Lesson 3.1 Graphing Systems.notebook October 19, 2011 Graph the system to find the solutions. Check your answers. x + 3y = 2 { 3x +3y = ­6 Oct 20­9:07 AM 7 Lesson 3.1 Graphing Systems.notebook { October 19, 2011 10 ­ 3x = ­3y 2 = 2x + y Oct 20­9:10 AM 8 Lesson 3.1 Graphing Systems.notebook October 19, 2011 Homework #18 Pg. 120 #1-6(by hand), 13-18, 25-28(can use calculator) Oct 20­9:11 AM 9