Question

Consider the sequence of steps to solve the equation:
x - 3
3
= x + 3

Step 1 ⇒ x - 3 = 3(x + 3)
Step 2 ⇒ x - 3 = 3x + 9
Step 3 ⇒ x = 3x + 12
Step 4 ⇒ -2x = 12
Step 5 ⇒ x = -6

Identify the property of equality which yields Step 1.
A) Division Property
B) Addition Property
C) Subtraction Property
D) Multiplication Property

Answer 1

Answer:

D) Multiplication Property

Step-by-step explanation:

Consider the sequence of steps to solve the equation:  

(x - 3 )/3  = x + 3

Step 1 ⇒ x - 3 = 3(x + 3)

Step 2 ⇒ x - 3 = 3x + 9

Step 3 ⇒ x = 3x + 12

Step 4 ⇒ -2x = 12

Step 5 ⇒ x = -6

the property of equality which yields Step 1.  

D) Multiplication Property

As both sides multiplied by 3

in step 3 , Addition property used as 3 was added both sides

in step 4 subtraction property used as 3x was subtracted from both sides

in step 5 division property was used as -2 was divided both sides