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 two sides remain equal. In this case, 6 is added to both sides of the equation.
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
Addition Property of Equality
Addition Property of Equality
Commutative Property of Addition
Commutative Property of Addition
Substitution Property
Substitution Property
Distributive Property
Distributive Property
Combine Like Terms
1 answer
1 answer