Choice Ahoice C is the correct answer. To find which value satisfies the equation, we solve by multiplying.

1. Start with the equation: $\frac{x}{9} = 7$
2. Multiply both sides by 9: $x = 7 \times 9$
3. Calculate: $x = 63$
4. Verify: $\frac{63}{9} = 7$ ✓

The question is phrased as "which value makes the equation true," which means we're looking for the solution.

Choice A is incorrect because this results from adding: $9 + 7 = 16$. Addition is not the inverse of division.

Choice B is incorrect because this comes from subtracting: $9 - 7 = 2$. Subtraction doesn't solve division equations.

Choice C is incorrect because this results from dividing 7 by 9 instead of multiplying: $\frac{7}{9} \approx 0.78$. This applies division in the wrong direction.