Question

What property justifies that 6x+9/3 =2x + 3? (see the pic of how the fraction is)

A. Commutative Property of Addition
B. Commutative Property of Multiplication
C. Distributive Property
D. Addition of Like Terms

Answer 1

C. Distributive property

Explanation:

Distributive property says that

`a\cdot (b+c)=a\cdot b+a\cdot c`

Consider left part of the expression

`(6x+9)/(3)=(1)/(3)\cdot (6x+9)`

By distibutive property,

`(1)/(3)\cdot (6x+9)\\ \\=(1)/(3)\cdot 6x+(1)/(3)\cdot 9\\ \\=2x+3`