Question

Identify the property that justifies the statement: If 4x - 3 = 7, then 4x = 10. -----> Is this substitution property?

Answer 1

No, it is not substitution property. Addition property of equality justifies the statement.

Explanation:

The given statement: If

`4x-3=7` .... (1)

them

`4x=10` ... (2)

According to the Addition property of equality, if a,b and c are real number, then

`a=b\Leftrightarrow a+c=b+c`

Using Addition property of equality, add 3 on both sides in equation (1).

`4x-3+3=7+3`

`4x=10`

This equation is same as equation (2).

Therefore Addition property of equality justifies the statement.

Answer 2

The equation shown above does not show the substitution property. Instead, it shows the Addition Property of Equation where 3 is added to both of its sides. This is shown below,
4x - 3 = 7
4x - 3 + 3 = 7 + 3
4x = 10