Question

Justify each step in solving the equation 4x=7(x-3) by writing a reason for each statement.

Answer 1

1. 4x = 7(x - 3)   GIVEN

4x = (7)(x) + (7)(-3)

2. 4x = 7x - 21     DISTRIBUTIVE PROPERTY

4x - 7x = 7x - 7x - 21

3. -3x = -21    SUBTRACTION PROPERTY OF EQUALITY

-3x : (-3) = -21 : (-3)

4. x = 7      DIVISION PROPERTY OF EQUALITY

Answer 2

1. Given

2. Distributive Property

3.Subtraction Property of Equality

4. Division Property of Equality