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:
OPTION C - Distributive Property
Step-by-step explanation:
Given: [tex]$ \frac{6x + 9}{3} $[/tex]
This is equal to: [tex]$ \frac{6x}{3} + \frac{9}{3} $[/tex]
⇒ [tex]$ 2x + 3 $[/tex]
Here, [tex]$ 3 $[/tex] is distributed over each term. Hence, distributive property is used.
Answer:
C. Distributive property
Step-by-step explanation:
From the question,
[tex]\frac{6x+ 9}{3}[/tex] = [tex]\frac{6x}{3} + \frac{9}{3}[/tex] (distributive property of the denominator)
= 2x + 3
The denominator in the question is distributive over the two terms in the numerator.