Beginning Algebra, 11th Edition

Applying the Multiplication Property of Equality

Solve

; Write in lowest terms.

CHECK Original equation

Let

✓ True

The check confirms that the solution set is E-^65 F. NOW TRY

- 30 =- 30

x=-^65.

25

1

a-

6

5

b- 30

25 x=- 30

• a
  b =-

a

x= b

- 30

25

=-

6

5

25 x

25

=

- 30

25

25 x=- 30

25 x=-30.

EXAMPLE 2

94 CHAPTER 2 Linear Equations and Inequalities in One Variable

NOW TRY
EXERCISE 2
Solve. 10 x=- 24

Divide each side by 25,

the coefficient of x.

Solving an Equation with Decimals

Solve

Divide each side by.

Divide.

Check by replacing xwith in the original equation. The solution set is

NOW TRY

- 2.9 5 - 2.9 6.

x=-2.9

- 2.1

- 2.1x

- 2.1

=

6.09

- 2.1

- 2.1x=6.09

- 2.1x= 6.09.

NOW TRY EXAMPLE 3

EXERCISE 3
Solve .-1.3x=7.02

NOW TRY
EXERCISE 4
Solve .x 5 =- 7

Applying the Multiplication Property of Equality

Solve

CHECK Original equation

Let

✓ True

Since a true statement results, the solution set is 5126. NOW TRY

3 = 3

x=12.

12

4

 3

x

4

= 3

x= 12

4 #

1

4

x= 4 # 3

x

4 =

1 x

4 =

1

4 x

1

4

x= 3

x

4

= 3

x

4 = 3.

EXAMPLE 4

Multiply each side by 4,

the reciprocal of.^14

Multiplicative inverse property;

multiplicative identity property

4 #^14 x= 1 x=x

NOW TRY ANSWERS

2. 
   
   
   
   3. 
      
   
   
   
   


3. 5 - 356

E-^125 F 5 - 5.4 6

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