1 / 7

3.1 – Solve Linear Systems by Graphing

3.1 – Solve Linear Systems by Graphing. A system of two linear equations in two variables x and y, also called a linear system, consists of two equations that can be written in the following form. Ax + By = C Dx + Ey = F

fannies
Télécharger la présentation

3.1 – Solve Linear Systems 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. 3.1 – Solve Linear Systems by Graphing A system of two linear equations in two variables x and y, also called a linear system, consists of two equations that can be written in the following form. Ax + By = C Dx + Ey = F A solution of a system of linear equations in two variables is an ordered pair that satisfies each equation.

  2. 3.1 – Solve Linear Systems by Graphing Example 4: Graph the linear system and estimate the solution. Then check the solution algebraically. 3x + 2y = -4 x + 3y = 1

  3. 3.1 – Solve Linear Systems by Graphing Example 5: Graph the linear system and estimate the solution. Then check the solution algebraically. 4x – 5y = -10 2x – 7y = 4

  4. 3.1 – Solve Linear Systems by Graphing A system that has at least one solution is consistent. If a system has no solution, the system is inconsistent. A consistent system that has exactly one solution is independent and a consistent system that has infinitely many solutions is dependent.

  5. 3.1 – Solve Linear Systems by Graphing

  6. 3.1 – Solve Linear Systems by Graphing Example 6: Solve the system. Then classify the system as consistent and independent, consistent and dependent, or inconsistent. 4x – 3y = 8 8x – 8y = 16

  7. 3.1 – Solve Linear Systems by Graphing Example 7: Solve the system. Then classify the system as consistent and independent, consistent and dependent, or inconsistent. 2x + y = 4 2x + y = 1

More Related