1 / 7

7.1 System of Equations

7.1 System of Equations. Solve by graphing. A system of linear equations consists of two or more linear equations: For example: 5x + 6y = 14 2x + 5y = 3. Ex 1) x + y = 3 5x – y = -27 Which one is the solution of this system? (1,2) or (-4,7) * Check (1,2) Check (-4,7)

blade
Download Presentation

7.1 System of 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. 7.1 System of Equations Solve by graphing

  2. A system of linear equations consists of two or more linear equations: • For example: 5x + 6y = 14 2x + 5y = 3

  3. Ex 1) x + y = 3 5x – y = -27 Which one is the solution of this system? (1,2) or (-4,7) *Check (1,2)Check (-4,7) Is 1 + 2 ? 3Is -4 + 7 ? 3 3 = 3 yes 3 = 3 yes Is 5·1-2 ? -27Is 5·(-4)-7 ? -27 5 - 2 ? -27 -20 – 7 ? -27 -3 = -27 no -27 = -27 yes So (1,2) is not the So (-4,7) is the solution Solution of the system

  4. Solve by Graphing Ex 1) y – x = 1 y + x = 3 y = x + 1 y = -x + 3 Therefore the solution of this system is (1,2) (1,2)

  5. Solve by Graphing Ex 1) y = -3x + 5 y = -3x - 2 The lines are parallel, so there is no solution for this system of equations

  6. Solve by Graphing Ex 1) 3y – 2x = 6 -12y + 8x = -24 There are infinite numbers of solution because the lines are coinciding

  7. A system of equations is consistent if they have at least one solution • A system of equation is inconsistent if they have no solution

More Related