4
algebra

If x9=0x - 9 = 0, what is the value of xx?

A

1

B

9

C

-9

D

0

Correct Answer: B

Choice Dhoice C is the correct answer. When an equation equals zero, we solve using the same strategy.

  1. Start with the equation: x9=0x - 9 = 0
  2. Add 9 to both sides: x=0+9x = 0 + 9
  3. Simplify: x=9x = 9
  4. Verify: 99=09 - 9 = 0

This demonstrates a simple principle: when xa=0x - a = 0, the solution is always x=ax = a. This is because only aa=0a - a = 0.

💡 Zero Equations: The equation xa=0x - a = 0 is equivalent to x=ax = a. Any number minus itself equals zero.

Choice Dhoice C is incorrect because zero is the result of the equation, not the value of xx. Don't confuse the right side with the solution.

Choice Dhoice D is incorrect because this is the negative of the correct answer. There's no mathematical justification for x=9x = -9 here.

Choice Dhoice A is incorrect because 1 is not relevant to this problem. This might result from confusing different mathematical concepts.