1 / 7

Solving Special Linear Systems | Algebraic Equations

Learn how to solve special types of linear systems with infinite, one, or no solutions. Understand the meaning of equations and solutions in algebra.

brandiadams
Download Presentation

Solving Special Linear Systems | Algebraic Equations

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 7.5 Special Types of Linear Systems

  2. Solve the Linear System -4x + 2y = 6 -2x + y = 3 4x - 2y = -6 0 = 0 What does this mean? The final equation is true! There are infinite solutions!! How could this be? We will answer this shortly. [ ]-2

  3. Solve the Linear System y = 3x + 7 -6x + 2y = -8 -6x + 2(3x + 7) = -8 -6x + 6x + 14 = -8 14 = -8 What does this mean? The final equation is false! There is no solution!! How could this be? We will answer this shortly. ( ) ( )

  4. How many solutions? Infinite Solutions. One solution. No solution.

  5. How many solutions? 12x + 6y = 24 9x + 3y = -3 [ ]3 ( ) [ ]2 3x + y = -1 -9x – 3y = 3 -2x + 4y = 2 x = 2y + 5 6x + 3y = 12 4x – 2y = 0 a) b) c) ( ) [ ]3 12x – 6y = 0 0 = 0 -2(2y + 5) + 4y = 2 24x = 24 -4y – 10 + 4y = 2 Infinite Solutions. x = 1 -10 = 2 6(1) + 3y = 12 No solution. 6 + 3y = 12 3y = 6 y = 2 One solution: (1, 2)

  6. A Few From the HW Together • P. 430 #27, #30 P. 429 #A

  7. HW • P. 429 #12-32, #36-37

More Related