1 / 10

Solving A System of Equations

Solving A System of Equations. Ernesto Romero / Lesslie Rangel December 18, 2013 5A. Problem Situation. The Key Club is selling t-shirts and key chains. They sold a total of 261 items. Twice as many shirts were sold as key chains. How many of each was sold?. Define Variables.

billie
Download Presentation

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 Ernesto Romero / LesslieRangel December 18, 2013 5A

  2. Problem Situation • The Key Club is selling t-shirts and key chains. They sold a total of 261 items. Twice as many shirts were sold as key chains. How many of each was sold?

  3. Define Variables • K = Number of key chains sold • T = Number of T-t-shirts sold

  4. System of Equations • K + T = 261 • T = 2K

  5. Solution Method • We are going to use substitution to solve this equation. • The variable that we are going to substituting (replacing) is T. • We are going to be replacing T in the first equation with 2K.

  6. Step 1 of Solution • First step is to replace the letter T • K + 2K = 261 • 3K = 261 • K = 87

  7. Step 2of Solution • Second step is to solve the equation now that you know what K equals. • T = 2(87) • T = 174

  8. Solution to the System of Equations • (K, T) (87, 174)

  9. Check of Solution • K+T=261 • If K=87 and T=174, then 87+174=261☺ • 174 = 2(87) ☺

  10. Solution in the Problem Situation • 87 is the number of key chains sold. • 174 is the number of t-shirts sold.

More Related