Set 13: Linear Equations

Choice B is correct. Choice Ahoice D is the correct answer. The question asks which value makes the equation true, so we solve for $x$. 1. Start with the equation: $\frac{x}{10} = 5$ 2. Multiply both sides by 10: $x = 5 \times 10$ 3. Calculate: $x = 50$ 4. Verify: $\frac{50}{10} = 5$ ✓ Quick Check: You can verify by asking: "50 divided by 10 equals what? Yes, 5!" Choice A is incorrect because this results from adding: $10+ 5 = 15$. Addition is not the inverse of division. Choice B is incorrect because this comes from dividing 10 by 5 instead of multiplying: $\frac{10}{5} = 2$. This is backwards. Choice D is incorrect because this results from dividing 5 by 10: $\frac{5}{10} = 0.5$. This divides in the wrong direction.