1 / 16

Systems of Equations By Graphing

Systems of Equations By Graphing. What is it?. A system compares to functions and determines when they intersect (where they have the same x and y values). Point of intersection. 3 methods of solving. Graphing Substitution Elimination

dalila
Télécharger la présentation

Systems of Equations By Graphing

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. Systems of EquationsBy Graphing

  2. What is it? • A system compares to functions and determines when they intersect (where they have the same x and y values).

  3. Point of intersection

  4. 3 methods of solving • Graphing • Substitution • Elimination *Graphing is an estimate. The other two methods are exact.

  5. Steps • Solve for y in each equation. • Graph them both on the same axes. • Identify the point where they cross. • That point (x,y) is the “solution” to the system.

  6. Example

  7. You try

  8. You try again

  9. Sometimes you will have to write the equation… The new Six Flags is offering 2 payment plans. Option 1: $5 entrance fee and $1 per ride. Option 2: $2 entrance fee and $3 per ride. Which option would you choose? What factors should you consider?

  10. Option 1: $5 entrance fee and $1 per ride.Option 2: $2 entrance fee and $3 per ride. Y=cost X=# of rides

  11. Solution: (1.5 , 7) If you ride more than 2 rides, option 1 is better.

  12. You try with a partner! Find the value of two numbers if their sum is 12 and their difference is 4. 4 and 8

  13. The difference of two numbers is 3. Their sum is 13. Find the numbers. 5 and 8

  14. This is a thinker…. • A boat traveled 336 miles downstream and back. The trip downstream took 12 hours. The trip back took 14 hours. What is the speed of the boat in still water? What is the speed of the current?

  15. Solution • Let y = boat speed in still waterLet x = speed of the currentthen(y-x) = effective speed upstream(y+x) = effective speed downstream • 12(y+x) = 336 • 14(y-x) = 336 • y - x = 24y + x = 28 Graph • boat: 26 mph, current: 2 mph

  16. Homework

More Related