1

Set 12: Linear Equations

Explanation

Answer: A

Solve: 10x+10=11010x + 10 = 110

A.

10

✓ Correct
B.

1000

C.

12

D.

100

Detailed Explanation

Choice A is correct. Choice C is the correct answer. 1. Start with the equation: 10x+10=11010x + 10 = 110 2. Subtract 10 from both sides: 10x=1101010x = 110 - 10 3. Simplify: 10x=10010x = 100 4. Divide both sides by 10: x=10010x = \frac{100}{10} 5. Simplify: x=10x = 10 6. Verify: 10(10)+10=100+10=11010(10) + 10 = 100 + 10 = 110 ✓ Choice D is incorrect because this results from adding 10 to 110: 120120, then 120/10=12120 /10 = 12. Wrong inverse operation. Choice A is incorrect because this is the value of 10x10x. You need to divide by 10. Choice C is incorrect because this results from multiplying 100 by 10: 10001000.

Key Steps:

The correct answer is 10

Why others are wrong:
B: Choice B 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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