Question

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

Answer 1

Answer:

C. Distributive property

Step-by-step explanation:

Distributive property says that

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

Consider left part of the expression

$\dfrac{6x+9}{3}=\dfrac{1}{3}\cdot (6x+9)$

By distibutive property,

$\dfrac{1}{3}\cdot (6x+9)\\ \\=\dfrac{1}{3}\cdot 6x+\dfrac{1}{3}\cdot 9\\ \\=2x+3$