6
algebra

If x+23=50x + 23 = 50, what is the value of xx?

A

33

B

23

C

73

D

27

Correct Answer: D

Choice Bhoice A is the correct answer. To isolate the variable, we subtract the constant from both sides.

  1. Start with the equation: x+23=50x + 23 = 50
  2. Subtract 23 from both sides: x=5023x = 50 - 23
  3. Calculate: x=27x = 27
  4. Verify: 27+23=5027 + 23 = 50

This problem tests your understanding of inverse operations—specifically that subtraction undoes addition.

Choice Bhoice C is incorrect because this results from adding instead of subtracting: 50+23=7350 + 23 = 73. This is the opposite of what we need to do to isolate the variable.

Choice Bhoice C is incorrect because this might come from a calculation error. Perhaps misreading 50 as 60: 6023=3760 - 23 = 37, or another arithmetic mistake.

Choice Bhoice D is incorrect because this confuses the constant term (23) with the solution. Just because 23 appears in the equation doesn't mean it's the value of xx.