10

Set 13: Linear Equations

Explanation

Answer: C

Solve for xx: 23x+1=5\frac{2}{3}x + 1 = 5

A.

3

B.

4

C.

6

✓ Correct
D.

9

Detailed Explanation

Choice C is correct. Choice C is the correct answer. 1. Subtract 1: 23x=4\frac{2}{3}x = 4 2. Multiply by 3: 2x=122x = 12 3. Divide by 2: x=6x = 6 4. Verify: 23(6)+1=4+1=5\frac{2}{3}(6) + 1 = 4 + 1 = 5 ✓ Choice D 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 6

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.
D: Choice D is incorrect and may result from a calculation error.

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