Final answer:
The domain of the given equation is all real numbers except where m or n equals zero, to avoid division by zero. To solve for x, we manipulate the equation to isolate x. The correct answer is Option C, with the domain being m ≠ 0 and n ≠ 0, and solving for x.
Step-by-step explanation:
To find the domain and solve for x, we consider the equation given by the student, which appears to be: ((x-m)/m) * p = ((x-n)/n) * q.
Firstly, to find the domain of this equation, we note that we cannot divide by zero, so m and n cannot be zero. Therefore, the domain must exclude the values where m or n is equal to zero.
Furthermore, there are no restrictions on x itself as set by the equation, so x can be any real number.
Next, to solve for x, we want to isolate x on one side of the equation. We can do this by expanding both sides and then gathering terms with x on one side and the constants on the opposite side.
Finally, solving for x will provide us with the value in terms of m, n, p, and q.
The correct answer to the student's question is therefore, Option C: Domain: m ≠ 0 and n ≠ 0, Solve for x.