Set 14: Linear Equations (Advanced)

Choice B is correct. Choice B is the correct answer. 1. Start with the equation: $10x + 50 = 150$ 2. Subtract 50 from both sides: $10x = 150 - 50$ 3. Simplify: $10x = 100$ 4. Divide both sides by 10: $x = \frac{100}{10}$ 5. Simplify: $x = 10$ 6. Verify: $10(10) + 50 = 100 + 50 = 150$ ✓ Choice A is incorrect because this results from adding 50 to 150: $200$, then $200 /10 = 20$. Wrong inverse operation. Choice C is incorrect because this is the value of $10x$. You need to divide by 10. Choice D is incorrect because this results from multiplying 100 by 10: $1000$.