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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

User XgMz
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1 Answer

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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.

User JC Sama
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8.3k points

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