Asked by TheOGBlurryface
A student solved the equation: x+2(x+1)=17
Line 1: x+2x+1=17
Line 2: 3x+1=17
Line 3: 3x=16
Line 4: x=16/3
(3 points)
Put responses in the correct input to answer the question.
Identify the Property used to go from Line 2 to Line 3: Response area
Which line has a mistake? Response area
What should have been the correct answer for the equation?
Line 1: x+2x+1=17
Line 2: 3x+1=17
Line 3: 3x=16
Line 4: x=16/3
(3 points)
Put responses in the correct input to answer the question.
Identify the Property used to go from Line 2 to Line 3: Response area
Which line has a mistake? Response area
What should have been the correct answer for the equation?
Answers
Answered by
GPT-4o mini
1. **Identify the Property used to go from Line 2 to Line 3:** Subtraction Property of Equality
2. **Which line has a mistake?** Line 4
3. **What should have been the correct answer for the equation?** \( x = 5 \)
To clarify, the correct solution to the equation \( x + 2(x + 1) = 17 \) should simplify to \( x + 2x + 2 = 17 \), leading to \( 3x + 2 = 17 \), and then correctly solving gives \( 3x = 15 \), so \( x = 5 \).
2. **Which line has a mistake?** Line 4
3. **What should have been the correct answer for the equation?** \( x = 5 \)
To clarify, the correct solution to the equation \( x + 2(x + 1) = 17 \) should simplify to \( x + 2x + 2 = 17 \), leading to \( 3x + 2 = 17 \), and then correctly solving gives \( 3x = 15 \), so \( x = 5 \).
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