Set 15: Linear Equations (Intermediate)

Choice B is correct. Choice Ahoice C is the correct answer. 1. Start with the equation: $5x - 10 = 25$ 2. Add 10 to both sides: $5x = 25 + 10$ 3. Simplify: $5x = 35$ 4. Divide both sides by 5: $x = \frac{35}{5}$ 5. Simplify: $x = 7$ 6. Verify: $5(7) - 10 = 35 - 10 = 25$ ✓ Choice Ahoice D is incorrect because this results from subtracting 10 from 25: $15$, then $15 /5 = 3$. We must add to undo subtraction. Choice Ahoice B is incorrect because this is the value of $5x$. Don't stop early! Choice Ahoice C is incorrect because this results from multiplying 35 by 5: $35\times 5 = 175$.