Set 5: Linear Equations (Intermediate)

Choice A is correct. Choice D is the correct answer. To solve this subtraction equation, we add the same number to both sides. 1. Start with the equation: $x - 14 = 28$ 2. Add 14 to both sides: $x = 28 + 14$ 3. Calculate: $x = 42$ 4. Verify: $42- 14 = 28$ ✓ This demonstrates that addition is the inverse operation of subtraction. Choice C is incorrect because this confuses the constant term (14) with the solution. The number being subtracted is not the answer we're looking for. Choice A is incorrect because this is the negative of the constant. If you incorrectly think the answer involves changing the sign of 14, you might choose this. Choice D is incorrect because this results from dividing: $\frac{28}{14} = 2$. Division is not relevant when solving this subtraction equation.