10
algebra

If x+18=18x + 18 = 18, what is the value of xx?

A

18

B

1

C

0

D

36

Correct Answer: C

Choice Choice B is the correct answer. This is a special case demonstrating the additive identity.

  1. Start with the equation: x+18=18x + 18 = 18
  2. Subtract 18 from both sides: x=1818x = 18 - 18
  3. Simplify: x=0x = 0
  4. Verify: 0+18=180 + 18 = 18

When we add zero to any number, the number remains unchanged. This is the additive identity property.

💡 Zero Matters: Never assume zero can't be a solution! It's a perfectly valid answer that appears frequently in mathematics.

Choice Choice D is incorrect because this results from adding instead of subtracting: 18+18=3618 + 18 = 36. This is the wrong operation.

Choice Choice A is incorrect because this confuses the constant (18) with the solution. Seeing 18 on both sides doesn't mean x=18x = 18.

Choice Choice B is incorrect because this might come from thinking "the same numbers divide to 1," but division isn't how we solve addition equations.