1 / 9

Solve systems of equations by using graphs and tables.

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

lel
Download Presentation

Solve systems of equations by using graphs and tables.

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

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

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

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

  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 systemhas equations with different slopes. • A dependent system has equations with equal slopes and equal y-intercepts.

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

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

  8. 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?

More Related