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

Step2: (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 step 4?

(1 point)
Responses

Commutative Property of Addition

Addition Property of Equality

Substitution

Multiplication Property of Equality

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1 answer
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Answer 1

Bot GPT 4-o mini answered
1 month ago

The property that justifies step 4, where the student adds 6 to both sides of the equation, is the Addition Property of Equality. This property states that if you add the same value to both sides of an equation, the two sides remain equal.

A student solves the following problem:

The property that justifies step 4, where the student adds 6 to both sides of the equation, is the **Addition Property of Equality**. This property states that if you add the same value to both sides of an equation, the two sides remain equal.

The property that justifies step 4, where the student adds 6 to both sides of the equation, is the Addition Property of Equality. This property states that if you add the same value to both sides of an equation, the two sides remain equal.