4

Set 4: Linear Equations (Advanced)

Explanation

Answer: D

Solve: 23(x5)=12(x+1)\frac{2}{3}(x - 5) = \frac{1}{2}(x + 1)

A.

11

B.

19

C.

13

D.

23

✓ Correct

Detailed Explanation

Choice D is correct. Choice C is the correct answer. 1. Multiply by 6 (LCD): 4(x5)=3(x+1)4(x - 5) = 3(x + 1) 2. Distribute: 4x20=3x+34x - 20 = 3 x + 3 3. Subtract 3 x: x20=3x - 20 = 3 4. Add 20: x=23x = 23 5. Verify: 2/3(18)=122 /3(18)=12, 1/2(24)=121 /2(24)=12 ✓ 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. Choice A is incorrect because it results from an error in the solution process.

Key Steps:

The correct answer is 23

Why others are wrong:
A: Choice A is incorrect and may result from a calculation error.
B: Choice B is incorrect and may result from a calculation error.
C: Choice C is incorrect and may result from a calculation error.

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