1 / 10

Solving Systems using graphing

Solving Systems using graphing. Missy McCarthy Okemos High School. Learning Targets. What you will learn What is a linear system? Solutions to a linear system Example: Solving by graphing Example: Application Systems with no solution Systems with infinitely many solutions Summary.

avent
Download Presentation

Solving Systems using 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. Solving Systems using graphing Missy McCarthy Okemos High School

  2. Learning Targets What you will learn What is a linear system? Solutions to a linear system Example: Solving by graphing Example: Application Systems with no solution Systems with infinitely many solutions Summary Solve a system of linear equations by graphing. Interpret the results.

  3. What is a Linear System? What you will learn What is a linear system? Solutions to a linear system Example: Solving by graphing Example: Application Systems with no solution Systems with infinitely many solutions Summary Two or more linear equations together form a system of linear equations.

  4. Solutions to a Linear System What you will learn What is a linear system? Solutions to a linear system Example: Solving by graphing Example: Application Systems with no solution Systems with infinitely many solutions Summary Any ordered pair (values for the variables) that makes ALL of the equations true is a SOLUTION of the system.

  5. Example: Solving by graphing What you will learn What is a linear system? Solutions to a linear system Example: Solving by graphing Example: Application Systems with no solution Systems with infinitely many solutions Summary One way to find the solutions of a linear system is by graphing the equations in the system to find the point that they have in common. Find the solution to the system of equations by graphing. y = 2x – 3 y = x - 1

  6. Example: Solving by graphing What you will learn What is a linear system? Solutions to a linear system Example: Solving by graphing Example: Application Systems with no solution Systems with infinitely many solutions Summary Find the solution to the system of equations by graphing. 3x + 4y = 12 2x + 4y = 8

  7. Example: Application What you will learn What is a linear system? Solutions to a linear system Example: Solving by graphing Example: Application Systems with no solution Systems with infinitely many solutions Summary I’m planning to take a Zumba class at Court One. I called to find out the costs and was told that it is $4 per class for non-members while members pay a $10 fee and an additional $2 per class. Write a system of equations to model the cost for non-members and members and solve by graphing. Interpret your solution.

  8. Systems with No Solution What you will learn What is a linear system? Solutions to a linear system Example: Solving by graphing Example: Application Systems with no solution Systems with infinitely many solutions Summary

  9. Systems with Many Solutions What you will learn What is a linear system? Solutions to a linear system Example: Solving by graphing Example: Application Systems with no solution Systems with infinitely many solutions Summary

  10. Summary What you will learn What is a linear system? Solutions to a linear system Example: Solving by graphing Example: Application Systems with no solution Systems with infinitely many solutions Summary Lines that intersect at one point have only one solution. These lines have different slopes. Lines that coincide/one lies right on top of the other have infinitely many solutions. These lines have the same slope and the same y-intercept. Lines that are parallel have no solution. These lines have the same slope and a different y-intercept.

More Related