Homework Log Wed 10/14 Lesson 3 – 1 Learning Objective: To solve systems by graphing Hw: Pg. 138 #7-13, 29, 31, 34.

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Homework Log Wed 10/14 Lesson 3 – 1 Learning Objective: To solve systems by graphing Hw: Pg. 138 #7-13, 29, 31, 34

Lesson 3 – 1 Solving Systems by Graphing Algebra II

Learning Objective To graph systems of linear equations To solve systems of linear equations by graphing

Vocabulary Systems of Equations – a set of two or more equations Solution of a system – set of values for the variables that makes all the equations true

To Solve by Graphing Get into slope – intercept form Graph both equations on the same graph Solution is/are where lines intersect

Solve by Graphing 1. 2x = – 4y – 12 –4y = –16 + 9x

#1 Cont’d (4, –5)

Solve by Graphing 2. 3x – 2y = 6 2y = 3x + 6

#2 Cont’d No Solution! Lines are Parallel & will NEVER cross!

Solve by Graphing 3. x = – 2y – 2 –4 = 4y + 2x

#3 Cont’d Infinite Solutions SAME line will ALWAYS touch

4. Graph x = 5 y = –7 (5, –7)

Solve by Graphing

#5 Cont’d (–7, –6)

Solve by Graphing x + y = 8 -x y = -x + 8 (7) ( ) (7)

#6 Cont’d y = –x + 8 y = –7x + 2 (–1, 9)

Assignment: Pg. 138 #7-13, 29, 31, 34

Ticket Out the Door You can choose between two different park’s tennis courts. One park charges $25 per hour. The other park charges $20 per hour plus a one-time fee of $10. Write & graph a system of equations representing the cost for hours of use at each park. Find the number of hours for which the costs are the same.