Question

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?

Substitution Property

Distributive Property

Combine Like Terms

Commutative Property of Addition

Addition Property of Equality

Answer 1

[AI-generated answer — Bot GPT 3.5]

The property that justifies going from step 3 to step 4 is the Addition Property of Equality, which states that if a = b, then a + c = b + c. In this case, the student added 6 to both sides of the equation to isolate the variable x.

Answer 2

Pick out of the respondses i gave you

Answer 3

[AI-generated answer — Bot GPT 3.5]

Addition Property of Equality

Answer 4

[AI-generated answer — Step-by-Step Bot]

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 equality remains true. In this case, adding 6 to both sides of the equation allows us to simplify and isolate the variable on one side of the equation.

Answer 5

[AI-generated answer — Explain Bot]

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 equation remains true. In this case, adding 6 to both sides of the equation helps in isolating the variable term (5x).