Set 10: Linear Equations (Intermediate)

Choice A is correct. Choice C is the correct answer. When solving division equations, we multiply both sides by the denumber. 1. Start with the equation: $\frac{x}{12} = 4$ 2. Multiply both sides by 12: $x = 4 \times 12$ 3. Calculate: $x = 48$ 4. Verify: $\frac{48}{12} = 4$ ✓ Quick Pattern: For $\frac{x}{a} = b$, the solution is always $x = ab$ (multiply the right side by the denominator). Choice A is incorrect because this results from dividing 12 by 4 instead of multiplying: $\frac{12}{4} = 3$. This is backwards thinking. Choice D is incorrect because this comes from adding: $12+ 4 = 16$. Addition is not the inverse of division. Choice D is incorrect because this results from dividing 4 by 12: $\frac{4}{12} \approx 0.33$. This divides in the wrong direction.