SOLUTION: When solving an equation, Gabrielle's first step is shown below. Which property justifies Gabrielle's first step? Original Equation: 3x−4=5 First Step: 3x=9 Answers

Algebra ->  Distributive-associative-commutative-properties -> SOLUTION: When solving an equation, Gabrielle's first step is shown below. Which property justifies Gabrielle's first step? Original Equation: 3x−4=5 First Step: 3x=9 Answers      Log On


   

Question 989798: When solving an equation, Gabrielle's first step is shown below. Which property justifies Gabrielle's first step?
Original Equation:
3x−4=5
First Step:
3x=9
Answers:
commutative property of addition
distributive property of multiplication over addition
addition property of equality
division property of equality
Answer by 31(5) About Me  (Show Source):
You can put this solution on YOUR website!
The property that best justifies Gabrielle's first step is the addition property of equality. This allows you to add four on the left side of the equal sign to cancel it out. In order to be fulfill the property, what you do to one side you must do to the other so you add that same amount (4) to the right side of the equal sign.

3x-4 = 5
(3x-4) +4 = 5 + 4
3x = 9

Final Answer: Addition Property of Equality


Hope this helped!