1 / 9

Algebra II Section 3-1

Algebra II Section 3-1. Objectives. Solve systems of linear equations by graphing. Determine whether a system of linear equations is consistent and independent, consistent and dependent, or inconsistent. System of Equations.

virote
Télécharger la présentation

Algebra II Section 3-1

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. Algebra II Section 3-1 Section 3-1

  2. Objectives • Solve systems of linear equations by graphing. • Determine whether a system of linear equations is consistent and independent, consistent and dependent, or inconsistent Section 3-1

  3. System of Equations • A system of equations is two or more equations with the same variables. • The solution to a system of equations is an ordered pair; the ordered pair should be in alphabetical order. Section 3-1

  4. Solve by Graphing • Solve the system of equations by graphing x – 2y = 0 x + y = 6 Section 3-1

  5. Types of Solutions • Consistent if has at least one solution. • Inconsistent if has no solutions. Section 3-1

  6. Consistent • Independent if has exactly one solution. • Dependent if has an infinite number of solutions Section 3-1

  7. Example #1 • Graph the system of equations and describe it as consistent and independent, consistent and dependent, or inconsistent. x – y = 5 x + 2y = - 4 Section 3-1

  8. Example #2 • Graph the system of equations and describe it as consistent and independent, consistent and dependent, or inconsistent. 15x – 6y = 0 5x – 2y = 10 Section 3-1

  9. Application A service club is selling copies of their holiday cookbook to raise funds for a project. The printer’s set-up charge is $200, and each book costs $2 to print. The cookbooks will sell for $6 each. How many cookbooks must the members sell before they make a profit? Section 3-1

More Related