A student solves the following problem:

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?

(1 point)
Responses

Substitution Property
Substitution Property

Distributive Property
Distributive Property

Addition Property of Equality
Addition Property of Equality

Commutative Property of Addition
Commutative Property of Addition

Combine Like Terms

Answer 1

The property that justifies going from step 3 to step 4 is the Addition Property of Equality, which allows us to add the same value to both sides of the equation without changing its truth.

Answer 2

A student solves the following problem:

The property that justifies going from step 3 to step 4 is the Addition Property of Equality, which allows us to add the same value to both sides of the equation without changing its truth.

The property that justifies going from step 3 to step 4 is the Addition Property of Equality.