Download presentation

Presentation is loading. Please wait.

Published byChloe Chambers Modified over 7 years ago

1
Solve systems of equations by using graphs and tables. Classify systems of equations, and determine the number of solutions. 3-1 Notes Objectives system of equations linear system consistent system inconsistent system independent system dependent system Vocabulary

2
A system of equations is a set of two or more equations containing two or more variables. A linear system is a system of equations containing only linear equations.

3
Use substitution to determine if the given ordered pair is an element of the solution set for the system of equations. Example 1: Verifying Solutions of Linear Systems (1, 3); x – 3y = –8 3x + 2y = 9

4
Use a graph to solve the system. Check your answer. 2x – 3y = 3 y + 2 = x Example 2: Solving Linear Systems by Using Graphs and Tables

5
Linear systems may also have infinitely many or no solutions. A consistent system is a set of equations or inequalities that has at least one solution. An inconsistent system will have no solutions. You can classify linear systems by comparing the slopes and y-intercepts of the equations. An independent system has equations with different slopes. A dependent system has equations with equal slopes and equal y-intercepts.

7
Classify the system and determine the number of solutions. Example 3: Classifying Linear System x = 2y + 6 3x – 6y = 18

8
Classify the system and determine the number of solutions. 4x + y = 1 y + 1 = –4x

9
City Park Golf Course charges $20 to rent golf clubs plus $55 per hour for golf cart rental. Sea Vista Golf Course charges $35 to rent clubs plus $45 per hour to rent a cart. For what number of hours is the cost of renting clubs and a cart the same for each course?

Similar presentations

© 2023 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google