1 / 14

6.1 Graphing Systems

6.1 Graphing Systems. Unit 3 Algebra 1. Warm Up: Graph the following equations. y = 2x + 1. x + 2y = 12. Solving Linear Systems by Graphing. 7.1. Objectives: Solve a system of equations by graphing. Solve systems from the real world.

colemank
Download Presentation

6.1 Graphing Systems

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. 6.1 Graphing Systems Unit 3 Algebra 1

  2. Warm Up:Graph the following equations. • y = 2x + 1 • x + 2y = 12

  3. Solving Linear Systems by Graphing 7.1 Objectives: • Solve a system of equations by graphing. • Solve systems from the real world. Vocabulary: system of linear equations, solution to a system, point of intersection

  4. We have solved equations like: We found many solutions to the equations like: Now we will find 1 solution to 2 equations together like: 2x + 4 = 12 x – 4 = 5 3(x – 4) = 5 x + 2(x – 3) = 5 – (x + 4) y = 2x - 5 3x + 2y = 12

  5. Vocabulary: System of Linear Equations – a group of 2 or more equations that are linear. Use a set mark { to group them. Think about our introductory activity…what did you learn? Examples: To get 1 solution, you need the same number of equations as variables.

  6. HOW TO:Solving a System by Graphing • Steps: • Graph both equations. • Find the intersection. • Check the answer. Make sure to solve for y first!

  7. #1: Solve the system by graphing. • Solve a System by Graphing • Graph both equations. • Find the intersection. • Check the answer. (3, 4)

  8. #2: Solve the system by graphing. • Solve a System by Graphing • Graph both equations. • Find the intersection. • Check the answer. (-3, 1)

  9. #3: Solve the system by graphing. • Solve a System by Graphing • Graph both equations. • Find the intersection. • Check the answer. (1, 3)

  10. #4: Solve the system by graphing. • Solve a System by Graphing • Graph both equations. • Find the intersection. • Check the answer. (-3, 6)

  11. #5: SPECIAL CASES • Solve a System by Graphing • Graph both equations. • Find the intersection. • Check the answer. nosolution

  12. #6: SPECIAL CASES • Solve a System by Graphing • Graph both equations. • Find the intersection. • Check the answer. infinitesolutions

  13. Real Life Linear System You and your sister each have a savings account for college. You have $2000 and plan to deposit an additional $50 per month At the same time, your sister has a balance of $1600 and she plans to deposit $100 per month. Predict when you and your sister will have the same amount? 8 months

  14. Homework 6.1 Practice Worksheet How do we solve a system by graphing? • Solve a System by Graphing • Graph both equations. • Find the intersection. • Check the answer.

More Related