1

Set 10: Linear Equations

Explanation

Answer: A

If 12x9=3x+1812x - 9 = 3x + 18, what is the value of xx?

A.

3

✓ Correct
B.

2.7

C.

9

D.

1

Detailed Explanation

Choice A is correct. Choice D is the correct answer. 1. Subtract 3 x: 9x9=189x - 9 = 18 2. Add 9: 9x=279x = 27 3. Divide by 9: x=3x = 3 4. Verify: 12(3)9=2712(3) - 9 = 27 and 3(3)+18=273(3) + 18 = 27 ✓ Choice A is incorrect because it results from an error in the solution process. Choice C is incorrect because it results from an error in the solution process. Choice B is incorrect because it results from an error in the solution process.

Key Steps:

The correct answer is 3

Why others are wrong:
B: Choice B 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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