Question

Which of the following properties would NOT be used to justify any of the steps in solving the equation below?

Answer 1

Given:

The equation is

$\dfrac{7}{2}n=3n+4$

To find:

The properties which is not used from the given options.

Solution:

We have,

$\dfrac{7}{2}n=3n+4$

Using Multiplication Property of Equality, multiply both sides by 2.

$2(\dfrac{7}{2}n)=2(3n+4)$

$7n=6n+8$                    (Distributive Property)

Using Subtraction Property of Equality, subtract 6n from both sides.

$7n-6n=6n+8-6n$

$n=8$

From the given options only one property is not used, i.e., Zero Product Property.

Therefore, the correct option is D.