8

Set 15: Linear Equations

Explanation

Answer: A

Solve: 27x+4=6\frac{2}{7}x + 4 = 6

A.

7

✓ Correct
B.

14

C.

3.5

D.

21

Detailed Explanation

Choice A is correct. Choice Ahoice D is the correct answer. 1. Subtract 4: 27x=2\frac{2}{7}x = 2 2. Multiply by 7: 2x=142x = 14 3. Divide by 2: x=7x = 7 4. Verify: 27(7)+4=2+4=6\frac{2}{7}(7) + 4 = 2 + 4 = 6 ✓ Choice Ahoice C is incorrect because it results from an error in the solution process. Choice Ahoice C is incorrect because it results from an error in the solution process. Choice Ahoice D is incorrect because it results from an error in the solution process.

Key Steps:

The correct answer is 7

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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