1 / 17

Bellwork

Learn to write linear system word problems and solve them using graphing, substitution, and linear combination methods. Practice examples provided for easy understanding.

arend
Download Presentation

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 following by: • y = 2x y = x + 3 • 1.) Graphing • 2.) Substitution • 3.) Linear Combination (+) Show all your Work

  2. Today’s Objective • To be able to write a linear system word problem and solve it.

  3. Example #1 • Read example 2 on page 368 and find the two items that were sold in the problem and the total sold. • Style A shoes • Style B shoes

  4. Example #1 • Let Style A = x • Let Style B = y • Total sold = 240 So…. • x + y = 240 (1st Equation)

  5. Example #1 • Receipts for Style A = 66.95x • Receipts for Style B = 84.95y • Total Receipts = 17,652 So…. • 66.95x + 84.95y = 17,652 (2nd Equation)

  6. Solve by Substitution • x + y = 240 • 66.95x + 84.95y = 17,652 • x + y = 240 (Solve for x) • x + y - y = 240 - y • x = 240 - y

  7. Solve by Substitution • x = 240 - y • 66.95x + 84.95y = 17,652 • 66.95(240-y) + 84.95y = 17652

  8. Solve by Substitution • 66.95(240-y) + 84.95y = 17652 • 16068 - 66.95y + 84.95y = 17652 • 16068 + 18y = 17652(subtract 16068) • 18y = 1584 (divide by 18) • y = 88 • Now Find x

  9. Solve by Substitution • Since y = 88 and • x = 240 - y then • x = 240 - 88 • x = 152 • Style A = 152, Style B = 88

  10. Steps • #1 ~ Make a list and pick the variables • #2 ~ Write the equations • #3 ~ Solve

  11. Example #2 • Read example 3 on page 369 and find the two missing items in the problem. • Total Earnings • Total Sales

  12. Example #2 • Step #1 • Let Total Sales = x • Let Total Earnings = y • Step #2 • y = 20,000 + .01x (1st job) • y = 15,000 + .02x (2nd job)

  13. Solve by (L.C. add) • y = 20,000 + .01x • y = 15,000 + .02x • y = 20,000 + .01x (times by -1) • -y = -20000 - .01x • y = 15000 + .02x (add) • You Finish to find x

  14. Solve by (L.C. add) • y = 20,000 + .01x • y = 15,000 + .02x • y = 20,000 + .01x (times by -1) • -y = -20000 - .01x • y = 15000 + .02x (add) • 0 = -5000 + .01x

  15. Solve by (L.C. add) • 0 = -5000 + .01x • 0+5000=-5000+5000+.01x • 5000 = .01x (divide by .01) • 500,000 = x • You must sell $500,000 in supplies for both jobs to be equal in salary.

  16. Solve by (L.C. add) • What salary would you earn? • Since y = 20,000 + .01x & • x = 500,000 then • y = 20,000 +.01(500000) • y = 20,000 + 5,000 • y = 25,000

  17. Classwork • Do page 370 (7,9,10) • #8 extra credit

More Related