Question
A student solves the following problem
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
Step5: 5x = 25
Step 6: x = 5
What property justifies Step 4
A) Multiplication property of equality.Be addition property of equality see community of property of addition d subtraction
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
Step5: 5x = 25
Step 6: x = 5
What property justifies Step 4
A) Multiplication property of equality.Be addition property of equality see community of property of addition d subtraction
Answers
GPT-4o mini
The correct answer is **B) Addition property of equality**.
In Step 4, the student adds 6 to both sides of the equation \(5x - 6 = 19\) in order to isolate the term with \(x\). The Addition Property of Equality states that if you add the same amount to both sides of an equation, the equation remains balanced.
In Step 4, the student adds 6 to both sides of the equation \(5x - 6 = 19\) in order to isolate the term with \(x\). The Addition Property of Equality states that if you add the same amount to both sides of an equation, the equation remains balanced.