Question

Which property justifies this statement? If 4x=20, then x=5. Division Property of Equality Reflexive Property of Equality Substitution Property of Equality Subtraction Property of Equality

Answer 1

Division Property of Equality

Answer 2

Option 1 - Division Property of Equality

Explanation:

Given : If
`4x=20`, then x=5.

To find : Which property justifies this statement?

Solution :

The equation is
`4x=20`

To make variable separate we have to remove 4 which is in multiple of variable x.

So, We divide both side by 4,

Applying division property of equality,

We can divide both sides of an equation by the same number and preserve equality.

`(4x)/(4)=(20)/(4)`

`x=5`

Therefore, The property justifies the statement is 'Division Property of Equality'.

So, Option 1 is correct.