Set 16: Linear Equations (Intermediate)

Choice C is correct. 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.