10

Set 14: Linear Equations (Intermediate)

Explanation

Answer: B

If 7x4=4x+117x - 4 = 4x + 11, what is the value of xx?

A.

15

B.

5

✓ Correct
C.

2.33

D.

3

Detailed Explanation

Choice B is correct. Choice B is the correct answer. 1. Subtract 4 x from both sides: 3x4=113x - 4 = 11 2. Add 4 to both sides: 3x=153x = 15 3. Divide by 3: x=5x = 5 4. Verify: 7(5)4=317(5) - 4 = 31 and 4(5)+11=314(5) + 11 = 31 ✓ Choice C 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 5

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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