Set 3: Linear Equations

Choice A is correct. Choice C is the correct answer. 1. Start with the equation: $7x + 14 = 49$ 2. Subtract 14 from both sides: $7x = 49 - 14$ 3. Simplify: $7x = 35$ 4. Divide both sides by 7: $x = \frac{35}{7}$ 5. Simplify: $x = 5$ 6. Verify: $7(5) + 14 = 35 + 14 = 49$ ✓ Choice B is incorrect because this results from adding 14 to 49: $63$, then $63 /7 = 9$. Wrong inverse operation. Choice D is incorrect because this is the value of $7x$. You need to divide by 7. Choice C is incorrect because this results from multiplying 35 by 7: $245$.