Math Module 2 (Hard) Question 7

The given equation relates the numbers $p$ and $q$ where $q>0$ and $p>3$. Which equation correctly expresses $q$ in terms of $p$?
$$p=3-\frac{5}{q+1}$$
Answer:
C

Explanation

The correct answer is Choice C.

Rewrite the equation in terms of $p$.

Choices A, B, and D are incorrect and may result from algebraic mistakes.

✨ Expert's Tip ✨

If $q=\frac{5}{p-3}-1$ is substituted back into the equation $p=3-\frac{5}{q+1}$ for verification, we will end up with $p=p$.

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