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 equality is maintained. In this case, the student is adding 6 to both sides of the equation \(5x - 6 = 19\) to isolate the term with \(x\).
Question
A student solves the following problem:
Problem:
2(x−3) + 3x = 19
Step 1: 2x − 6 + 3x = 19 Click and drag to move
Step2: (2x + 3x) −6 = 19 Click and drag to move
Step 3: 5x − 6 = 19 Click and drag to move
Step 4: 5x - 6 + 6 = 19 + 6 Click and drag to move
Step 5: 5x = 25 Click and drag to move
Step 6: x = 5 Click and drag to move
What property justifies going from step 3 to step 4?
Responses
Commutative Property of Addition
Commutative Property of Addition
Addition Property of Equality
Addition Property of Equality
Division Property of Equality
Division Property of Equality
Substitution Property
Substitution Property
Distributive Property
Distributive Property
1 answer