Question

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

72n=3n+4
2(72n)=2(3n+4)
7n=6n+8
7n−6n=6n+8−6n
n=8
A.Subtraction Property of Equality
B.Multiplication Property of Equality
C.Distributive Property
D.Zero Product Property

Answer 1

Given:

The equation is

`(7)/(2)n=3n+4`

To find:

The properties which is not used from the given options.

Solution:

We have,

`(7)/(2)n=3n+4`

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

`2((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.