The property that justifies going from step 3 to step 4 is the Addition Property of Equality. This property states that if you add the same amount to both sides of an equation, the equality remains true. In this case, the student added 6 to both sides of the equation to isolate the term involving \(x\).
A student solves the following equation:
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 going from step 3 to step 4?
(1 point)
Responses
Distributive Property
Distributive Property
Substitution Property
Substitution Property
Combine Like Terms
Combine Like Terms
Commutative Property of Addition
Commutative Property of Addition
Addition Property of Equality
1 answer