1 / 15

Bellwork

Bellwork. Solve the system 2x+3y=-9 x-2y=6 You buy 8 pencils for $8 at the bookstore. Standard pencils cost $.85 and specialty pencils cost $1.25. How many specialty pencils did you buy?. Example. Solve the system 2x+3y=-9 x-2y=6. Example.

mahala
Télécharger la présentation

Bellwork

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. Bellwork • Solve the system • 2x+3y=-9 x-2y=6 • You buy 8 pencils for $8 at the bookstore. Standard pencils cost $.85 and specialty pencils cost $1.25. How many specialty pencils did you buy?

  2. Example • Solve the system • 2x+3y=-9 x-2y=6

  3. Example You buy 8 pencils for $8 at the bookstore. Standard pencils cost $.85 and specialty pencils cost $1.25. How many specialty pencils did you buy?

  4. Solve Special Types of Linear Systems Section 7.5

  5. The Concept • Since discussing linear systems, we’ve created a quiver of methods for solving: Graphing, Substitution and Elimination • Today we’re going to talk about some special kinds of systems

  6. Vocabulary • Inconsistent System • A system of equations in which no point of intersection exists • These lines are Parallel • Consistent System • A system of equations in which all solutions to both equations serve as solutions to the other • These systems have infinitely many solutions • They are in fact the same lines

  7. Example Let’s do an example 5y+1x=9 5y=-x+13

  8. Example Let’s do an example 2y+2x=12 x=-y+6

  9. Findings • If lines are parallel, then they will never intersect and are inconsistent • Parallel lines have the same slope but different y-intercepts • Lines with the same slopes and the same y-intercepts are consistent • Lines with different slopes, regardless of the y-intercept intersect with 1 solution

  10. The Rules • Different slopes • 1 solution • Same Slopes, Different Y-Intercept • No Solutions, Inconsistent • Same Slopes, Same Y-Intercept • Infinitely Many Solutions, Consistent

  11. Example • Without solving the linear system, tell whether the linear system has one solution, no solution or infinitely many solutions.

  12. Homework • 7.5 • 2-14 even, 24-32 even, 36, 39

  13. Practical Practice • A pizza parlor fills two pizza orders. Find the cost of one medium pizza

  14. Most Important Points • Systems of equations sometimes have no solutions or infinitely many solutions • Definition of an inconsistent and consistent system • Rules for knowing the number of solutions

More Related