1 / 12

MPM2D – Linear Systems – Analyzing Linear Systems

MPM2D – Linear Systems – Analyzing Linear Systems. Single Equations and Systems of Equations We can find a single solution for an equation with 1 variable: We cannot find a single solution if we have an equation with 2 variables:

kelii
Download Presentation

MPM2D – Linear Systems – Analyzing Linear Systems

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. MPM2D – Linear Systems – Analyzing Linear Systems Single Equations and Systems of Equations We can find a single solution for an equation with 1 variable: We cannot find a single solution if we have an equation with 2 variables: This is a linear equation with an infinite number of solutions, such as (0, 4) , (1, 6) , and (-2, 0)

  2. However, 2 linear relations could intersect at a single point, which might provide the solution that is needed. MPM2D – Linear Systems – Analyzing Linear Systems Single Equations and Systems of Equations (5, -2)

  3. MPM2D – Linear Systems – Analyzing Linear Systems Single Equations and Systems of Equations Is (-1, 11) a solution to the following equation? Substitute into the equation to do a left side/right side check: Since L.S. = R.S., (-1, 11) is a solution to

  4. MPM2D – Linear Systems – Analyzing Linear Systems Single Equations and Systems of Equations Which of the following ordered pairs satisfy the equation ? (3, 5) , (1.5, -1.5) , (0.5, -2.5) , (2.5, 2.5)

  5. MPM2D – Linear Systems – Analyzing Linear Systems Single Equations and Systems of Equations Which of the following ordered pairs satisfy the equation ? (3, 5) , (1.5, -1.5) , (0.5, -2.5) , (2.5, 2.5)

  6. MPM2D – Linear Systems – Analyzing Linear Systems Single Equations and Systems of Equations Complete each ordered pair below, so that it satisfies a) (2, ) b) ( , 8) c) ( , -13) d) (-2, )

  7. MPM2D – Linear Systems – Analyzing Linear Systems Single Equations and Systems of Equations Complete each ordered pair below, so that it satisfies a) (2, 5) b) ( , 8) c) ( , -13) d) (-2, )

  8. MPM2D – Linear Systems – Analyzing Linear Systems Single Equations and Systems of Equations Complete each ordered pair below, so that it satisfies a) (2, 5) b) (3, 8) c) ( , -13) d) (-2, )

  9. MPM2D – Linear Systems – Analyzing Linear Systems Single Equations and Systems of Equations Complete each ordered pair below, so that it satisfies a) (2, 5) b) (3, 8) c) (-4, -13) d) (-2, )

  10. MPM2D – Linear Systems – Analyzing Linear Systems Single Equations and Systems of Equations Complete each ordered pair below, so that it satisfies a) (2, 5) b) (3, 8) c) (-4, -13) d) (-2, -7)

  11. MPM2D – Linear Systems – Analyzing Linear Systems Single Equations and Systems of Equations Two or more equations being considered together is called a system of equations. Do a left side/right side check to verify that (5, 2) is the solution to the following system of equations: For ; For ; Therefore, (5, 2) is the solution to the system.

  12. The solution to the previous system of equations can be modelled on a graph. MPM2D – Linear Systems – Analyzing Linear Systems Single Equations and Systems of Equations Notice that (5, 2) is the only point that lies on both lines.

More Related