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x and y are integers. x is not equal to 0. Find the value of

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x and y are integers. x is not equal to 0. Find the value of [#permalink]

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12 Mar 2006, 10:24
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x and y are integers. x is not equal to 0. Find the value of y, knowing that x+y+xy=0

A. 2
B. 1
C. 0
D. -1
E. -2

Last edited by laxieqv on 12 Mar 2006, 11:14, edited 1 time in total.
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12 Mar 2006, 10:53
It should be "E" i.e -2

Edit: Not sure, with y = -2, I'm getting x = -2 but x is not equal to y

Other choices,
for y = -1, x = infinity
for y = 0, x = 0 (again x = y)
for y = 1, x = -0.5 but both have to be integers
for y = 2, x = -2/3

Last edited by vivek123 on 12 Mar 2006, 11:08, edited 1 time in total.
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12 Mar 2006, 11:04
vivek123 wrote:
It should be "E" i.e. -2

Buddy, I guess Tanvi gave you a lot of power!!
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12 Mar 2006, 11:12
laxieqv wrote:
vivek123 wrote:
It should be "E" i.e. -2

Buddy, I guess Tanvi gave you a lot of power!!

Laxie,
Buddy, can you just check above? the edit portion? am I missing something?

Well, Tanvi is cool, enjoying She has learnt so many things, she tries to mimic what we talk or do. It's fun watching her
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12 Mar 2006, 11:18
hik, sorry buddy, i just editted. It's " x is not equal to 0"

buddy, you know children are extremely sensitive to learning around the age of Tanvi ....they will learn a lot from their parents' emotional expressions. Just keep showing her all your happiness and smiling so that she'll be an optimistic person later!! ^_^
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12 Mar 2006, 11:42
ok, then it should "E" i.e. -2

Yeah, you're right. We have made sure that there is healthy environment around her!
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Re: DS know x, find y [#permalink]

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12 Mar 2006, 22:10
laxieqv wrote:
x and y are integers. x is not equal to 0. Find the value of y, knowing that x+y+xy=0

A. 2
B. 1
C. 0
D. -1
E. -2

x+y+xy = 0 --> x(y+1) +y = 0 ---> x(y+1) + (y+1) -1 =0
---> (y+1) (x+1) =1

Because x and y are integers ---> (y+1) and (x+1) must be factors of 1
We have two cases:
(y+1) = 1 and (x+1) =1
OR ( y+1) =-1 and (x+1) = -1
But the first case yields x= 0 ---> eliminate
The second case stands ---> y+1= -1 ---> y=-2

OA is E.
Good job, everyone~!!
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Re: DS know x, find y [#permalink]

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12 Mar 2006, 22:20
laxieqv wrote:
x and y are integers. x is not equal to 0. Find the value of y, knowing that x+y+xy=0

A. 2
B. 1
C. 0
D. -1
E. -2

x+ y + xy = 0

===> 1/x + 1/y = -1
put value of Y from the given choices and try to find out X.

from the give choices

Only E satisfy the condition that both x and y should be an Integer.
Re: DS know x, find y   [#permalink] 12 Mar 2006, 22:20
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