6

Set 12: Linear Equations (Intermediate)

Explanation

Answer: D

Solve for xx: x+35=62x + 35 = 62

A.

-27

B.

35

C.

97

D.

27

✓ Correct

Detailed Explanation

Choice D is correct. Choice C is the correct answer. This addition equation requires subtraction to isolate xx. 1. Start with the equation: x+35=62x + 35 = 62 2. Subtract 35 from both sides: x=6235x = 62 - 35 3. Calculate: x=27x = 27 4. Verify: 27+35=6227+ 35 = 62 ✓ This reinforces the fundamental concept that subtraction undoes addition. Choice D is incorrect because this results from adding instead of subtracting: 62+35=9762+ 35 = 97. This is the opposite of what we need. Choice A is incorrect because this confuses the constant (35) with the solution. Seeing 35 in the equation doesn't mean x=35x = 35. Choice C is incorrect because this is the negative of the correct answer. Perhaps from incorrectly calculating 3562=2735- 62 = -27 (reversing the subtraction order).

Key Steps:

The correct answer is 27

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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