Set 14: Linear Equations

Choice B is correct. Choice D is the correct answer. 1. Start with the equation: $\frac{x}{3} + 5 = 9$ 2. Subtract 5 from both sides: $\frac{x}{3} = 9 - 5$ 3. Simplify: $\frac{x}{3} = 4$ 4. Multiply both sides by 3: $x = 4 \times 3$ 5. Simplify: $x = 12$ 6. Verify: $\frac{12}{3} + 5 = 4 + 5 = 9$ ✓ Choice C is incorrect because this results from adding 5 to 9: $14$, then $14\times 3 = 42$. Wrong inverse operation. Choice D is incorrect because this is the value of $\frac{x}{3}$. You must multiply by 3. Choice C is incorrect because this results from dividing 4 by 3: 1.$33$. We need to multiply.