Problem: 2(x−3)+3x=19
Step 1: 2x−6+3x=19
Step 2: (2x+3x)−6=19
Step 3: 5x−6=19
Step 4: 5x−6+6=19+6
Step 5: 5x=25
Step 6: x=5
What property justifies step 4?
(1 point)
Responses
Addition Property of Equality
Addition Property of Equality
Multiplication Property of Equality
Multiplication Property of Equality
Commutative Property of Addition
Commutative Property of Addition
Substitution
Substitution
1 answer
The property that justifies step 4, where 6 is added to both sides of the equation, is the Addition Property of Equality. This property states that if you add the same number to both sides of an equation, the two sides remain equal.
So the correct response is:
Addition Property of Equality
