Math Module 2 (Hard) Question 8

The expression $\frac{12}{3x-36}$ is equivalent to $\frac{a}{x-12}$, where $a$ is a constant and $x>12$. What is the value of $a$?
Answer:
B

Explanation

The correct answer is Choice B.

Match the numerator of the second expression with that of the first expression to find $a$.

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

✨ Expert's Tip ✨

An alternate method is to manipulate the 2nd equation so that the denominator is equal to that of the 1st equation. Then, the numerators must equal, which makes it easier to solve for $a$.

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