1 / 11

Solving A System of Equations

Solving A System of Equations. Ana Garcia Emily Gonzalez December 18, 2013 7/8 pD. Problem Situation. A basketball team stopped at a fast food restaurant after a game. They divided into two groups. One group bought 5 chicken sandwiches and 7 hamburgers for a cost of $24.90.

sereno
Télécharger la présentation

Solving A 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. Solving A System of Equations Ana Garcia Emily Gonzalez December 18, 2013 7/8 pD

  2. Problem Situation • A basketball team stopped at a fast food restaurant after a game. They divided into two groups. • One group bought 5 chicken sandwiches and 7 hamburgers for a cost of $24.90. • The second group spent $28.80 and bought 5 chicken sandwiches and 9 hamburgers. • How much does a hamburger cost?

  3. Define Variables • H represents the cost of one hamburger • C represents the cost of one chicken sandwich

  4. System of Equations 5C + 7H = 24.90 5C + 9H = 28.80

  5. Solution Method • The system of equations is going to solved by the method of elimination. • The variable c is going to be eliminated when we subtract the equations.

  6. Step _1_ of Solution We eliminate the 5C 5C + 7H = 24.90 5C + 9H = 28.80 ------------------------------- 2H = 3.90

  7. Step _2_ of solution • You divide 3.90 by 2 2H = 3.90 H = 3.90 / 2 = 1.95

  8. Step _3_ of solution • Use either equation to find C 5C + 7H = 24.90 5C + 7(1.95) = 24.90 5C + 13.65 = 24.90 5C = 11.25 C = 2.25

  9. Solution to the System of Equations The solution to the system of equations is (2.25,1.95)

  10. Check of Solution • 5(2.25)+7(1.95)=24.90 true • 5(2.25)+9(1.95)=28.80 true ----------------------------

  11. Solution in the Problem Situation Each chicken sandwich is $2.25 and each hamburger is $1.95

More Related