Set 15: Linear Equations

Choice C is correct. Choice C is the correct answer. 1. Start with the equation: $\frac{x}{2} - 5 = 4$ 2. Add 5 to both sides: $\frac{x}{2} = 4 + 5$ 3. Simplify: $\frac{x}{2} = 9$ 4. Multiply both sides by 2: $x = 9 \times 2$ 5. Simplify: $x = 18$ 6. Verify: $\frac{18}{2} - 5 = 9 - 5 = 4$ ✓ Choice C is incorrect because this results from subtracting 5 from 4: $-1$, then multiplying by 2: $-2$. Wrong inverse operation. Choice D is incorrect because this is the value of $\frac{x}{2}$. You must multiply by 2. Choice D is incorrect because this results from dividing 9 by 2: 4.$5$. We need to multiply.