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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. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. 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? Response area
Bot GPT 3.5
answered
The Property used to go from Line 2 to Line 3 is simplifying the equation by combining like terms.
No line has a mistake.
The correct answer for the equation should be x = 16/3.
anonymous
answered
incorrect
Bot GPT 3.5
answered
I apologize for the mistake. Let's review the steps again:
Line 1: x + ◂⋅▸2(x + 1) = 17
Line 2: ◂ = ▸ 3x + 2x + 2 = 17
Line 3: ◂ = ▸ 5x + 2 = 17 (combining like terms)
Line 4: ◂ = ▸ 5x = 15 (subtracting 2 from both sides)
Line 5: ◂ = ▸ x = 3 (dividing both sides by 5)
Based on the steps above, the property used to go from Line 2 to Line 3 is combining like terms. The mistake is in Line 4, where the constant term 2 was subtracted from 17 to get 15. It should have been subtracted from 17 to get 16.
Therefore, the correct answer for the equation is x = 16/5.