Set 12: Linear Equations (Intermediate)

Choice D is correct. Choice D is the correct answer. 1. Start with the equation: $5x + 25 = 100$ 2. Subtract 25 from both sides: $5x = 100 - 25$ 3. Simplify: $5x = 75$ 4. Divide both sides by 5: $x = \frac{75}{5}$ 5. Simplify: $x = 15$ 6. Verify: $5(15) + 25 = 75 + 25 = 100$ ✓ Choice B is incorrect because this results from adding 25 to 100: $125$, then $125 /5 = 25$. Wrong inverse operation. Choice B is incorrect because this is the value of $5x$. You need to divide by 5. Choice A is incorrect because this results from multiplying 75 by 5: $375$.