Lesson 3-5:Solving Equations

with the Variable on Each Side

Objectives- I can solve equations with variables on both sides using multiple steps.

- I can determine when an equation has one solution, no solutions, and all real numbers for solutions.

You will need graph paper at the

beginning of Chapter 4!!!!

Example 1

Solve: -2 + 10p = 8p – 1

– 8p – 8p

-2 + 2p = -1

Example 1

Solve: -2 + 10p = 8p – 1

– 8p – 8p

-2 + 2p = -1

+2 +2

2p = 1

Example 1

Solve: -2 + 10p = 8p – 1

– 8p – 8p

-2 + 2p = -1

+2 +2

2p = 1

p = ½ 2

1

2

2

p

Example 2

Solve: 2(w – 3) + 5 = 3(w – 1)

Example 2

Solve: 2(w – 3) + 5 = 3(w – 1) 2w – 6 + 5 = 3w – 3

Example 2

Solve: 2(w – 3) + 5 = 3(w – 1) 2w – 6 + 5 = 3w – 3

2w - 1 = 3w – 3

Example 2

Solve: 2(w – 3) + 5 = 3(w – 1) 2w - 6 + 5 = 3w – 3

2w – 1 = 3w – 3 – 2w – 2w

Example 2

Solve: 2(w – 3) + 5 = 3(w – 1) 2w - 6 + 5 = 3w – 3

2w – 1 = 3w – 3 – 2w – 2w -1 = w – 3

Example 2

Solve: 2(w – 3) + 5 = 3(w – 1) 2w - 6 + 5 = 3w – 3

2w - 1 = 3w – 3 – 2w – 2w -1 = w – 3

+ 3 + 3

Example 2

Solve: 2(w – 3) + 5 = 3(w – 1) 2w - 6 + 5 = 3w – 3

2w - 1 = 3w – 3 – 2w – 2w -1 = w – 3

+ 3 + 3 2 = w

Example 3

Solve: 8(5c – 2) = 10(32 + 4c)

40c – 16 = 320 + 40c

– 40c – 40c

-16 = 320

No solution

Example 4

Solve:

All Real Numbers

40020204 51 tt

804 t t4 80t4 t4

8080

Homework

Pgs. 152-153: 16-42 Evens