2
algebra

If x+29=75x + 29 = 75, what is the value of xx?

A

104

B

2.59

C

29

D

46

Correct Answer: D

Choice Bhoice D is the correct answer. To isolate the variable from an addition equation, we subtract.

  1. Start with the equation: x+29=75x + 29 = 75
  2. Subtract 29 from both sides: x=7529x = 75 - 29
  3. Calculate: x=46x = 46
  4. Verify: 46+29=7546 + 29 = 75

This reinforces the fundamental principle: subtraction is the inverse of addition.

Choice Bhoice D is incorrect because this results from adding instead of subtracting: 75+29=10475 + 29 = 104. We need to undo the addition, not add more.

Choice Bhoice 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 Bhoice A is incorrect because this results from dividing: 75292.59\frac{75}{29} \approx 2.59. Division is not the appropriate inverse operation for addition.