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Is x=y?

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 6661
GMAT 1: 760 Q51 V42
GPA: 3.82

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01 Jun 2017, 00:09
1
5
00:00

Difficulty:

25% (medium)

Question Stats:

68% (00:55) correct 32% (01:22) wrong based on 151 sessions

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Is x=y?

1) $$|x|+|y|=0$$
2) $$x^2+y^2=0$$

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MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
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"Only $99 for 3 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Math Expert Joined: 02 Sep 2009 Posts: 51280 Re: Is x=y? [#permalink] Show Tags 01 Jun 2017, 00:41 2 1 Math Expert Joined: 02 Sep 2009 Posts: 51280 Re: Is x=y? [#permalink] Show Tags 01 Jun 2017, 05:27 MathRevolution wrote: Is x=y? 1) $$|x|+|y|=0$$ 2) $$x^2+y^2=0$$ The square root of a number as well as an absolute value of a number cannot be negative. Both statements say the same thing: the sum of two non-negative values equals zero. This is only possible if both of them are 0. Thus, each statement give the same solution: x = y = 0. Answer: D. _________________ Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 6661 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: Is x=y? [#permalink] Show Tags 04 Jun 2017, 16:52 ==> In the original condition, there are 2 variables (x,y) and in order to match the number of variables to the number of equations, there must be 2 equations. Since there is 1 for con 1) and 1 for con 2), C is most likely to be the answer. However, since con 1)=con2), you get x=y=0, hence yes, it is sufficient. The answer is D. Answer: D _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$99 for 3 month Online Course"
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31 Jul 2018, 09:39
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Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Is x=y? &nbs [#permalink] 31 Jul 2018, 09:39
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