The property that justifies going from Step 3 to Step 4 is the Addition Property of Equality. This property states that if you add (or subtract) the same amount to both sides of an equation, the two sides remain equal. In this case, the student is adding 6 to both sides of the equation \(5x - 6 = 19\) 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 Combine Like Terms Combine Like Terms Addition Property of Equality Addition Property of Equality Distributive Property Distributive Property Substitution Property
1 answer