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

Question

Casey Roach

Mathematics

2 October, 07:59

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

+3

Answers (1)

Know the Answer?

Brooklynn Parsons · Answer 1

I'm assuming this question is asking the process which yields step 1 to step 2, because step 1 just shows the equation, while step 2 actually shows the answer choice D, which is the multiplication property. 3 (x + 3) is multiplied as 3 x 'x' and 3 x 3 which comes out to 3x + 9.