To solve the equation \(\frac{rs}{a - 3} = k\) for \(r\), follow these steps:

1. **Multiply both sides by \(a - 3\)** to eliminate the denominator:
   \[
   rs = k(a - 3)
   \]

2. **Divide both sides by \(s\)** to solve for \(r\):
   \[
   r = \frac{k(a - 3)}{s}
   \]

So, the solution for \(r\) is:
\[
r = \frac{k(a - 3)}{s}
\]

Would you like further details or have any questions about this solution?

Here are 5 related questions:
1. How would the solution change if the equation was \(\frac{rs}{a + 3} = k\)?
2. What happens if \(s = 0\) in the original equation?
3. How can you solve for \(a\) in the equation \(\frac{rs}{a - 3} = k\)?
4. How does the equation change if \(k = 0\)?
5. Can you solve for \(s\) instead of \(r\) in the original equation?

**Tip:** When solving for a variable, always aim to isolate it on one side of the equation by performing the inverse operations step by step.

Learn how to solve the equation rs/(a - 3) = k for the variable r with a step-by-step solution. This problem involves algebraic manipulation of equations with fractions, suitable for advanced high school students.

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