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 equation remains balanced. In this case, adding 6 to both sides of the equation \(5x - 6 = 19\) maintains the equality.
10. 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
Combine Like Terms
Combine Like Terms
Distributive Property
Distributive Property
Commutative Property of Addition
Commutative Property of Addition
Substitution Property
Substitution Property
Addition Property of Equality
1 answer