Question

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

Answer:
Statement Reason
1. 4x=7(x-3) 1. given
2. 4x=7x-21 2.
3. -3x=-21 3.
4. x=7 4.

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