The property that justifies step 4 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. In step 4, the student adds 6 to both sides of the equation \(5x - 6 = 19\).
A student solves the following problem:
Problem: 2(x−3)+3x=19
Step 1: 2x−6+3x=19
Step2: (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
Commutative Property of Addition
Commutative Property of Addition
Substitution
Substitution
Multiplication Property of Equality
1 answer