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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## Algebra Problem tagged by: Brent@GMATPrepNow ##### This topic has 4 expert replies and 0 member replies ## Algebra Problem Is the first step to this problem to multiply by x to get rid of the denominator? I did this and was able to get 1-x^2+ x = y but I have no idea what to do next. ### GMAT/MBA Expert Elite Legendary Member Joined 23 Jun 2013 Posted: 10124 messages Followed by: 494 members Upvotes: 2867 GMAT Score: 800 Hi sgraves, You've made a slight math error in your work - you have to multiply EVERY "piece" by X (and you didn't do that). If you redo that step, then you'll end up with: 1 - X^2 + X^2 = Y. The X-terms will cancel out and you'll be left with 1=Y In addition, you could solve this question by TESTing VALUES. Try TESTing X=1 OR X=2 and solve for Y. GMAT assassins aren't born, they're made, Rich _________________ Contact Rich at Rich.C@empowergmat.com ### GMAT/MBA Expert GMAT Instructor Joined 08 Dec 2008 Posted: 12822 messages Followed by: 1247 members Upvotes: 5254 GMAT Score: 770 Quote: If x â‰ 0, and (1 - xÂ²)/x + x = y/x, then y = A) 1 B) 2 C) 3 D) 4 E) 5 Given: (1 - xÂ²)/x + x = y/x Multiply both sides by x to get: (1 - xÂ²) + xÂ² = y Simplify: 1 = y Answer: A RELATED VIDEO - Eliminating fractions in equations: https://www.gmatprepnow.com/module/gmat-algebra-and-equation-solving/video/963 _________________ Brent Hanneson â€“ Creator of GMATPrepNow.com Use our video course along with Sign up for our free Question of the Day emails And check out all of our free resources GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMATâ€™s FREE 60-Day Study Guide and reach your target score in 2 months! ### GMAT/MBA Expert GMAT Instructor Joined 09 Apr 2015 Posted: 1461 messages Followed by: 18 members Upvotes: 39 sgraves wrote: Is the first step to this problem to multiply by x to get rid of the denominator? I did this and was able to get 1-x^2+ x = y but I have no idea what to do next. To start, we can multiply the given equation by x (possible since x â‰ 0) and we have: 1 - x^2 + x^2 = y Since the x^2 values cancel out, we are left with: 1 = y. Answer: A _________________ Jeffrey Miller Head of GMAT Instruction jeff@targettestprep.com See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews ### GMAT/MBA Expert GMAT Instructor Joined 12 Sep 2012 Posted: 2635 messages Followed by: 116 members Upvotes: 625 Target GMAT Score: V51 GMAT Score: 780 You're doing it (mostly) right! Multiplying both sides by x gives: x * ((1 - xÂ²)/x + x) = x * (y/x) or x * (1 - xÂ²)/x + x * x = y You forgot the part in blue, but that's a very easy mistake to make! Don't sweat it, it happens to me too. Enroll in a Veritas Prep GMAT class completely for FREE. Wondering if a GMAT course is right for you? Attend the first class session of an actual GMAT course, either in-person or live online, and see for yourself why so many students choose to work with Veritas Prep. Find a class now! • Free Trial & Practice Exam BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • Magoosh Study with Magoosh GMAT prep Available with Beat the GMAT members only code • Get 300+ Practice Questions 25 Video lessons and 6 Webinars for FREE Available with Beat the GMAT members only code • 1 Hour Free BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • 5-Day Free Trial 5-day free, full-access trial TTP Quant Available with Beat the GMAT members only code • Free Practice Test & Review How would you score if you took the GMAT Available with Beat the GMAT members only code • 5 Day FREE Trial Study Smarter, Not Harder Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

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