6

Set 3: Linear Equations (Advanced)

Explanation

Answer: B

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

A.

3.17

B.

25

✓ Correct
C.

13

D.

-13

Detailed Explanation

Choice B is correct. 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 C is incorrect because this results from subtracting 6 from 19 instead of adding: 196=1319- 6 = 13. This applies subtraction twice. Choice D is incorrect because this is the negative of Choice C. It might result from reversing the subtraction: 619=136- 19 = -13. Choice C is incorrect because this results from dividing: 1963.17\frac{19}{6} \approx 3.17. Division doesn't solve subtraction equations.

Key Steps:

The correct answer is 25

Why others are wrong:
A: Choice A is incorrect and may result from a calculation error.
C: Choice C is incorrect and may result from a calculation error.
D: Choice D is incorrect and may result from a calculation error.

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