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 two sides remain equal. In this case, \( -6 \) is added to both sides of the equation to isolate \( 5x \).
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
Commutative Property of Addition
Commutative Property of Addition
Distributive Property
Distributive Property
Addition Property of Equality
Addition Property of Equality
Combine Like Terms
Combine Like Terms
Substitution Property
1 answer