Question

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

Answer 1

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

Answer 2

Answer:

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

Step-by-step 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.