Question

What property justifies that 6x+9/3=2x+3? A. Commutative Property of Addition B. Commutative Property of Multiplication C. Distributive Property D. Addition of Like Terms

Answer 1

C. Distributive property

Explanation:

From the question,

`(6x+ 9)/(3)` =
`(6x)/(3) + (9)/(3)` (distributive property of the denominator)

= 2x + 3

The denominator in the question is distributive over the two terms in the numerator.

Answer 2

OPTION C - Distributive Property

Explanation:

Given:
`$ (6x + 9)/(3) $`

This is equal to:
`$ (6x)/(3) + (9)/(3) $`

⇒
`$ 2x + 3 $`

Here,
`$ 3 $` is distributed over each term. Hence, distributive property is used.