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 number to both sides of an equation, the equation remains balanced. In this case, 6 is added to both sides of the equation \(5x - 6 = 19\) to yield \(5x = 25\).
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?
What property justifies going from step 3 to step 4?
(1 point)
Responses
Commutative Property of Addition
Commutative Property of Addition
Combine Like Terms
Combine Like Terms
Distributive Property
Distributive Property
Substitution Property
Substitution Property
Addition Property of Equality
1 answer