8

Set 14: Linear Equations

Explanation

Answer: B

Solve: 6x+18=366x + 18 = 36

A.

9

B.

3

✓ Correct
C.

18

D.

108

Detailed Explanation

Choice B is correct. Choice Ahoice D is the correct answer. 1. Start with the equation: 6x+18=366x + 18 = 36 2. Subtract 18 from both sides: 6x=36186x = 36 - 18 3. Simplify: 6x=186x = 18 4. Divide both sides by 6: x=186x = \frac{18}{6} 5. Simplify: x=3x = 3 6. Verify: 6(3)+18=18+18=366(3) + 18 = 18 + 18 = 36 ✓ Choice Ahoice B is incorrect because this results from adding 18 to 36: 5454, then 54/6=954 /6 = 9. Wrong inverse operation. Choice Ahoice C is incorrect because this is the value of 6x6x. You need to divide by 6. Choice Ahoice C is incorrect because this results from multiplying 18 by 6: 108108.

Key Steps:

The correct answer is 3

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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