Question

1. mp find the error a student is solving the equation $\frac{x}{3}=6$. find the students mistake and correct it.$\frac{x}{3}=6LXB0x=2$

Explanation:

Step1: Identify the student's error

To isolate $x$, the student incorrectly divided both sides by 3 instead of multiplying. The left side $\frac{x}{3}$ requires multiplication by 3 to cancel the denominator.

Step2: Correct the solving step

Multiply both sides of the equation by 3 to isolate $x$.
$$\frac{x}{3} \times 3 = 6 \times 3$$

Step3: Simplify to find $x$

Cancel the 3 on the left, calculate the right side.
$$x = 18$$

Answer:

The student's mistake was dividing both sides of the equation by 3 instead of multiplying. The correct solution is $x=18$.