Question

What algebraic property is demonstrated in the equation below? 5+3(2x-7)= 5+6x-21

Answer 1

The distributed property. The distributed property is being utilized. The 3 is being distributed to 6x and -7

Answer 2

The distributive property.

Explanation:

We have been given an equation
`5+3(2x-7)=5+6x-21` We are asked to find the algebraic property used in our given equation.

We know that distributive property states
`a(b+c)=ab+ac`. We can see that 3 is distributed to expression
`(2x-7)` as:

`5+3(2x-7)=5+3*2x+3*-7`

`5+3(2x-7)=5+6x-21`

Therefore, distributive property is used in our given equation.