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 value to both sides of an equation, the equality is maintained. In this case, 6 is added to both sides of the equation from step 3 to step 4.
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
Substitution Property
Substitution Property
Distributive Property
Distributive Property
Commutative Property of Addition
Commutative Property of Addition
Addition Property of Equality
Addition Property of Equality
Combine Like Terms
1 answer
1 answer