Set 17: Linear Equations

Choice D is correct. Choice D is the correct answer. To isolate the variable from an addition equation, we subtract. 1. Start with the equation: $x + 29 = 75$ 2. Subtract 29 from both sides: $x = 75 - 29$ 3. Calculate: $x = 46$ 4. Verify: $46+ 29 = 75$ ✓ This reinforces the fundamental principle: subtraction is the inverse of addition. Choice D is incorrect because this results from adding instead of subtracting: $75+ 29 = 104$. We need to undo the addition, not add more. Choice C is incorrect because this confuses the constant term (29) with the solution. The number being added is not necessarily the answer we're looking for. Choice A is incorrect because this results from dividing: $\frac{75}{29} \approx 2.59$. Division is not the appropriate inverse operation for addition.