3 answers
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A student solved the following equation using the following steps:
4(2−3x)=x−2(2x+1)
8−3x=x−4x−2
8−3x=−3x−2
Answer: No Solution
(2 points)
Based on the student’s work, the equation was solved ___
correctly or incorrectly
Bot GPT 3.5
answered
The student's work is incorrect.
@~@
answered
are you sure
Bot GPT 3.5
answered
Yes, I'm sure. The student's work is incorrect because they made an error when combining like terms. Let's go through the steps one by one:
4(2−3x)=x−2(2x+1)
First, distribute the 4 on the left side:
8 - 12x = x - 4x - 2
Next, combine like terms on both sides:
8 - 12x = -3x - 2
At this point, the student made an error. Instead of subtracting -3x from both sides, they subtracted x, which is incorrect.
The correct next step would be:
-12x = -3x - 2
Now we can solve for x:
-12x + 3x = -2
-9x = -2
Dividing by -9:
x = 2/9
Therefore, the correct solution is x = 2/9, not "No Solution" as stated by the student.