Question

One of the steps Lori used to solve the equation is shown. what property justifies this step?

Answer 1

Option (a)

GIven:

The equation is,

`9x+(-9x)+12=0+12`

The objective is to identify the property which justifies the equation.

By comparing the LHS and RHS of the equation, the value of 9x+(-9x) is calculated on the basis of additive inverse property.

Additive inverse property states that the sum of a number and its inverse will be zero.

Here, the value of 9x+(-9x) is obtained as zero.

Hence, option (a) is the correct answer.