8

Set 9: Linear Equations

Explanation

Answer: B

The area of a rectangle is not typically solved with linear equations unless one dimension is known. If Area = 48 and Width = 6, and Length = 2x+42x + 4, find xx.

A.

8

B.

2

✓ Correct
C.

4

D.

3

Detailed Explanation

Choice B is correct. Choice C is the correct answer. 1. Area Formula: A=L×WA = L \times W 2. Substitute: 48=6(2x+4)48= 6(2 x + 4) 3. Divide by 6: 8=2x+48= 2 x + 4 4. Subtract 4: 4=2x4= 2 x 5. Divide by 2: 2=x2= x 6. Verify: L=8L = 8. 6×8=486\times 8 = 48 ✓ Choice D is incorrect because it results from an error in the solution process. Choice D 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.

Key Steps:

The correct answer is 2

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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