Set 7: Linear Equations (Intermediate)

Choice B is correct. Choice C is the correct answer. We follow the two-step process: subtract, then divide. 1. Start with the equation: $5x + 10 = 35$ 2. Subtract 10 from both sides: $5x = 35 - 10$ 3. Simplify: $5x = 25$ 4. Divide both sides by 5: $x = \frac{25}{5}$ 5. Simplify: $x = 5$ 6. Verify: $5(5) + 10 = 25 + 10 = 35$ ✓ Choice A is incorrect because this results from adding 10 to 35: $35+ 10 = 45$, then $45 /5 = 9$. This applies the wrong inverse operation. Choice D is incorrect because this is the value of $5x$. Don't forget the final division step! Choice D is incorrect because this might come from a calculation error, perhaps thinking $35- 10 = 20$.