Question

16) Consider the sequence of steps to solve the equation:

5(x - 3) =
2
7x
-
Step 1 => 10(x - 3) = 7x
Step 2 = 10x - 30 - 7x
Step 3 => 3x - 30 - 0
Step 4 => 3x = 30
Step 5 => x= 10
Identify the property of equality which gets us from Step 3 to Step 4.
A) Division Property
B) Addition Property
C) Subtraction Property
D) Multiplication Property

Answer 1

B) addition property

Explanation:

thinking that 3x - 30 - 0 should equal 0.

3x - 30 - 0 = 0

to get rid of numbers on side with variables, we have to add them to both sides (to make it 0 in side with variable.)

3x - 30 - 0 = 0

+30 +0 = +30 +0

3x = 30 <- step 4