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# If xy ≠ 0, could y be expressed as -2/x?

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Joined: 13 May 2009
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If xy ≠ 0, could y be expressed as -2/x? [#permalink]

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13 Aug 2009, 07:27
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If xy ≠ 0, could y be expressed as -2/x?

(1) x2y2 – xy = 6

(2) y ≠ 3/x
SVP
Joined: 05 Jul 2006
Posts: 1747
Followers: 6

Kudos [?]: 358 [0], given: 49

Re: If xy ≠ 0, could y be expressed as -2/x? [#permalink]

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13 Aug 2009, 08:11
lbsgmat wrote:
If xy ≠ 0, could y be expressed as -2/x?

(1) x2y2 – xy = 6

(2) y ≠ 3/x

is yx = -2

from 1

xy(xy-1) = 6 , xy can be -2 or 3 ....insuff

from 2 obviously insuff

both we still dont know whether x,y are intigers or not E
Manager
Joined: 25 Jul 2009
Posts: 116
Schools: NYU, NUS, ISB, DUKE, ROSS, DARDEN
Followers: 6

Kudos [?]: 241 [0], given: 17

Re: If xy ≠ 0, could y be expressed as -2/x? [#permalink]

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13 Aug 2009, 08:18
lbsgmat wrote:
If xy ≠ 0, could y be expressed as -2/x?

(1) x2y2 – xy = 6

(2) y ≠ 3/x

SOL:

St1:
Let xy = m
=> m^2 - m = 6
=> (m+2)*(m-3) = 0
=> m = -2 or m = 3
=> xy = -2 or xy = 3
=> y = -2/x or y = 3/x
=> NOT SUFFICIENT

St2:
=> NOT SUFFICIENT

St1 & St2 Together:
From I: y = -2/x or y = 3/x
From II: y ≠ 3/x
=> y = -2/x
=> SUFFICIENT

ANS: C
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Manager
Joined: 25 Jul 2009
Posts: 116
Schools: NYU, NUS, ISB, DUKE, ROSS, DARDEN
Followers: 6

Kudos [?]: 241 [0], given: 17

Re: If xy ≠ 0, could y be expressed as -2/x? [#permalink]

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13 Aug 2009, 08:20
yezz wrote:
lbsgmat wrote:
If xy ≠ 0, could y be expressed as -2/x?

(1) x2y2 – xy = 6

(2) y ≠ 3/x

is yx = -2

from 1

xy(xy-1) = 6 , xy can be -2 or 3 ....insuff

from 2 obviously insuff

both we still dont know whether x,y are intigers or not E

Could you explain why we need to know whether x and y are integers?
_________________

KUDOS me if I deserve it !!

My GMAT Debrief - 740 (Q50, V39) | My Test-Taking Strategies for GMAT | Sameer's SC Notes

SVP
Joined: 05 Jul 2006
Posts: 1747
Followers: 6

Kudos [?]: 358 [0], given: 49

Re: If xy ≠ 0, could y be expressed as -2/x? [#permalink]

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13 Aug 2009, 09:24
samrus98 wrote:
yezz wrote:
lbsgmat wrote:
If xy ≠ 0, could y be expressed as -2/x?

(1) x2y2 – xy = 6

(2) y ≠ 3/x

is yx = -2

from 1

xy(xy-1) = 6 , xy can be -2 or 3 ....insuff

from 2 obviously insuff

both we still dont know whether x,y are intigers or not E

Could you explain why we need to know whether x and y are integers?

Actually i cant , was just a mistake. C it is
Re: If xy ≠ 0, could y be expressed as -2/x?   [#permalink] 13 Aug 2009, 09:24
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# If xy ≠ 0, could y be expressed as -2/x?

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