Download presentation

Presentation is loading. Please wait.

1
**3-3: Equations with Variables on Both Sides**

Essential Question: How is solving an equation with variables on both sides of an equal sign different than solving an equation with variables on the same side of an equal sign? 3-3: Equations with Variables on Both Sides

2
**3-3: Equations with variables on both sides**

To solve an equation that has variables on both sides, use addition or subtraction properties to get all variables to one side of the equation. Example 1: Variables on both sides Solve: 6x + 3 = 8x – 21 6x + 3 = 8x – x x -2x + 3 = -2x = -24 ÷-2 ÷-2 x = 12

3
**3-3: Equations with variables on both sides**

Your Turn Solve each equation -6d = d + 4 d = -4/7 2(c – 6) = 9c + 2 c = -2 m – 5 = 3m m = -5/2 7k – 4 = 5k + 16 k = 10

4
**3-3: Equations with variables on both sides**

Example 2: Real-World Problem Solving Renting in-line skates and safety equipment costs $3.50 an hour, and renting only safety equipment costs $1.50/hour. You can buy used in-line skates from your friend for $40, or you can rent some. Either way, you must rent safety equipment. How many hours must you skate for the cost of renting and buying skates to be the same? h = 3.5h h h 40 = 2h ÷2 ÷2 20 = h

5
**3-3: Equations with variables on both sides**

Your Turn A hairdresser is considering ordering a certain shampoo. Company A charges $4 per 8-oz bottle plus $10 shipping per order. Company B charges $3 per 8-oz bottle plus $25 shipping per order. How many bottles must the hairdresser buy to justify using company B? 15 bottles

6
**3-3: Equations with variables on both sides**

If all variables get eliminated and… The remaining statement is true, it is an identity. The remaining statement is false, the equation has no solution. Example 4 10 – 8a = 2(5 – 4a) 6m – 5 = 7m + 7 – m 10 – 8a = 10 – 8a 6m – 5 = 6m a a m m 10 = = 7 Identity No Solution

7
**3-3: Equations with variables on both sides**

Your Turn Determine whether each equation is an identity or whether it has no solution. 9 + 5n = 5n – 1 No solution 9 + 5x = 7x + 9 – 2x Identity

8
**3-3: Equations with variables on both sides**

Assignment Practice 3-3 1 – 35, odd problems Quiz tomorrow on 3-1 & 3-2

Similar presentations

Presentation is loading. Please wait....

OK

Chapter 2 2.4: Equations with Variables on Both Sides.

Chapter 2 2.4: Equations with Variables on Both Sides.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on object-oriented programming language Ppt on save environment photos Seminar ppt on circuit breaker Ppt on 2-stroke diesel-engine Ppt on rivers of india in hindi Ppt on national health mission Asking questions while reading ppt on ipad Ppt on inertial frame of reference Ppt on carl friedrich gauss formulas Ppt on different solid figures nets