Download presentation

Published byCameron Bain Modified over 4 years ago

1
**Learn to solve equations that have variables on both sides.**

Course 2 12-3 Solving Equations with Variables on Both Sides Learn to solve equations that have variables on both sides.

2
**Solving Equations with Variables on Both Sides**

Course 2 12-3 Solving Equations with Variables on Both Sides Additional Example 1: Using Inverse Operations to Group Terms with Variables Group the terms with variables on one side of the equal sign, and simplify. A. 60 – 4y = 8y 60 – 4y = 8y 60 – 4y + 4y = 8y + 4y Add 4y to both sides. 60 = 12y Simplify. B. –5b + 72 = –2b –5b + 72 = –2b –5b + 5b + 72 = –2b + 5b Add 5b to both sides. 72 = 3b Simplify.

3
**Solving Equations with Variables on Both Sides**

Course 2 12-3 Solving Equations with Variables on Both Sides Check It Out: Example 1 Group the terms with variables on one side of the equal sign, and simplify. A. 40 – 2y = 6y 40 – 2y = 6y 40 – 2y + 2y = 6y + 2y Add 2y to both sides. 40 = 8y Simplify. B. –8b + 24 = –5b –8b + 24 = –5b –8b + 8b + 24 = –5b + 8b Add 8b to both sides. 24 = 3b Simplify.

4
**Additional Example 2A: Solving Equations with Variables on Both Sides**

Course 2 12-3 Solving Equations with Variables on Both Sides Additional Example 2A: Solving Equations with Variables on Both Sides Solve. 7c = 2c + 55 7c = 2c + 55 7c – 2c = 2c – 2c + 55 Subtract 2c from both sides. 5c = 55 Simplify. 5c = 55 5 Divide both sides by 5. c = 11

5
**Additional Example 2B: Solving Equations with Variables on Both Sides**

Course 2 12-3 Solving Equations with Variables on Both Sides Additional Example 2B: Solving Equations with Variables on Both Sides Solve. 49 – 3m = 4m + 14 49 – 3m = 4m + 14 49 – 3m + 3m = 4m + 3m + 14 Add 3m to both sides. 49 = 7m + 14 Simplify. 49 – 14 = 7m + 14 – 14 Subtract 14 from both sides. 35 = 7m 35 = 7m 7 Divide both sides by 7. 5 = m

6
**Additional Example 2C: Solving Equations with Variables on Both Sides**

Course 2 12-3 Solving Equations with Variables on Both Sides Additional Example 2C: Solving Equations with Variables on Both Sides 2 5 x = 1 x – 12 2 5 1 5 x = x – 12 2 5 x 15 – = 1 – 12 1 5 Subtract x from both sides. 1 5 x –12 = Simplify. 1 5 (5) x = (5)(–12) Multiply both sides by 5. x = –60

7
**Solving Equations with Variables on Both Sides**

Course 2 12-3 Solving Equations with Variables on Both Sides Check It Out: Example 2A Solve. 8f = 3f + 65 8f = 3f + 65 8f – 3f = 3f – 3f + 65 Subtract 3f from both sides. 5f = 65 Simplify. 5f = 65 5 Divide both sides by 5. f = 13

8
**Solving Equations with Variables on Both Sides**

Course 2 12-3 Solving Equations with Variables on Both Sides Check It Out: Example 2B Solve. 54 – 3q = 6q + 9 54– 3q = 6q + 9 54 – 3q + 3q = 6q + 3q + 9 Add 3q to both sides. 54 = 9q + 9 Simplify. 54 – 9 = 9q + 9 – 9 Subtract 9 from both sides. 45 = 9q 45 = 9q 9 Divide both sides by 9. 5 = q

9
**Solving Equations with Variables on Both Sides**

Course 2 12-3 Solving Equations with Variables on Both Sides Check It Out: Example 2C Solve. 2 3 w = 1 w – 9 2 3 1 3 w = w – 9 1 3 2 3 w 13 – = 1 – 9 Subtract w from both sides. 1 3 w –9 = Simplify. 1 3 (3) w = (3)(–9) Multiply both sides by 3. w = –27

Similar presentations

Presentation is loading. Please wait....

OK

Columbus State Community College

Columbus State Community College

© 2018 SlidePlayer.com Inc.

All rights reserved.

By using this website, you agree with our use of **cookies** to functioning of the site. More info in our Privacy Policy and Google Privacy & Terms.

Ads by Google

Ppt on nepali culture and tradition Ppt on computer virus symptoms Ppt on earth dam failures File type ppt on cybercrime articles Ppt on hot and cold places Ppt on elements compounds and mixtures Ppt on acid-base indicators color change Ppt on fibonacci numbers in stock Seminar ppt on secure atm by image processing Ppt on machine translation quality