Question

Sanjay solved the equation below. Which property did he use to determine that 7x+42=42 is equivalent to

7(x+6)=42
7x+42=42
7x=0
x=0

Answer 1

Explanation:

7(x + 6) = 42

distributive property: a(b + c) = ab + ac

(7)(x) + (7)(6) = 42

7x + 42 = 42

subtraction property of equality (subtract 42 from both sides)

7x + 42 - 42 = 42 - 42

7x = 0

division property of equality (divide both sides by 7)

7x : 7 = 0 : 7

x = 0

Answer 2

1. Distributive property: a(b + c) = a.b + a.c

2. Property of subtraction of equality

3. Property of division of equality

Explanation:

The given equation is 7x + 42 = 42

7(x+6)=42 [Distributive property: a(b + c) = a.b + a.c]

7x+42=42 [Property of subtraction of equality]

Subtract 42 from both sides.

7x + 42 - 42 = 42 - 42

7x=0

Property of division of equality

Divide both sides by 7.

x=0