Three Examples Of Subtraction, Multiplication And Divusion Property Of Equality. Show Your Solution

Three examples of Subtraction, Multiplication and Divusion property of equality. Show your solution

 

Answer:

A. SUBTRACTION PROPERTY OF EQUALITY (SPE)

1. x+2 = 3

x +2 - 2 = 3 - 2 ( SPE)

X = 1

checking:

x = 1

x+ 2 = 3

1+2 = 3

3=3

2. x + 3 = 4

x + 3 - 3 = 4 - 3  (SPE)

x = 1

Checking:

x= 1

x + 3 = 4

1+3 = 4

4=4

3. x+ 5 = 8

x+ 5- 5 = 8- 5 (SPE)

X = 3

Checking:

x = 3

x + 5 = 8

3+5 = 8

8=8

B. MULTIPLICATION PROPERTY OF EQUALITY (MPE)

1. x/2 = 3

2(x/2) = 3(2)   (MPE, multiply both sides by 2)

2x/2 = 6

x = 6

Checking:

x = 6

x/2 = 3

6/2 = 3

3=3

2. x/5 = 10

(5)(x/5) = 10(5)  (MPE, multiply both sides by 5)

5x/5 = 50

x = 50

Checking:

x=50

x/5 = 10

50/5 = 10

10=10

3. x/7 = 8

(7)(x/7) = 8(7)  (MPE, multiply both sides by 7)

7x/7 = 56

x = 56

Checking:

x=56

x/7 = 8

56/7 =8

8=8

C. DIVISION PROPERTY OF EQUALITY (DPE)

1. 3X = 9

3X/3 = 9/3   (DPE)

X= 3

Checking:

x = 3

3x = 9

3(3) = 9

9 = 9

2. 4x = 12

4x/4 = 12/4   (DPE)

X = 3

Checking:

x = 3

4x = 12

4(3) = 12

12=12

3. 5x = 20

5x / 5   = 20/5      (DPE)

X = 4

Checking:

x = 4

5x = 20

5(4) = 20

20=20