8
algebra

If x6=19x - 6 = 19, what is the value of xx?

A

3.17

B

25

C

13

D

-13

Correct Answer: B

Choice Choice B is the correct answer. We add to undo the subtraction.

  1. Start with the equation: x6=19x - 6 = 19
  2. Add 6 to both sides: x=19+6x = 19 + 6
  3. Calculate: x=25x = 25
  4. Verify: 256=1925 - 6 = 19

The pattern is consistent: subtraction is undone by addition.

Choice Choice C is incorrect because this results from subtracting 6 from 19 instead of adding: 196=1319 - 6 = 13. This applies subtraction twice.

Choice Choice D is incorrect because this is the negative of Choice Choice C. It might result from reversing the subtraction: 619=136 - 19 = -13.

Choice Choice C is incorrect because this results from dividing: 1963.17\frac{19}{6} \approx 3.17. Division doesn't solve subtraction equations.