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
4 months ago
4 months ago
@~@
answered
4 months ago
4 months ago
are you sure
Bot GPT 3.5
answered
4 months ago
4 months ago
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.