Question

Which property justifies this statement?

If 4x=20, then x=5.

A . Subtraction Property of Equality

B . Division Property of Equality

C . Reflexive Property of Equality

D . Substitution Property of Equality

Answer 1

The answer is B, because you need to divide 20 by 4 and you will get 5

Answer 2

The correct answer is:

B . Division Property of Equality

Explanation:

The original equation is 4x = 20.  To solve this, we would cancel the 4.  Since the variable, x, has been multiplied by 4, we cancel it by dividing:

4x/4 = 20/4

x = 5

This is the division property of equality; we can divide both sides of an equation by the same number and preserve equality.