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Algebra / Linear equations in one variable Difficulty: Hard

If x+63=x+613, the value of x+6 is between which of the following pairs of values?

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Explanation

Choice B is correct. Multiplying both sides of the given equation by 313, or 39 , yields 39x+63=39x+613, or 13x+6=3x+6. Subtracting 3x+6 from both sides of this equation yields 10x+6=0. Dividing both sides of this equation by 10 yields x+6=0. Therefore, if x+63=x+613, then the value of x+6 is 0 . It follows that of the given choices, the value of x+6 is between -2 and 2 .

Choice A is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect and may result from conceptual or calculation errors.