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bkk145
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Given that x and y are integers and x+y+xy=0. If x is not 0, 07 May 2008, 20:13
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Given that x and y are integers and x+y+xy=0. If x is not 0, what is the value of y?

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



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Given that x and y are integers and x+y+xy=0. If x is not 0, 07 May 2008, 20:42
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bkk145
Given that x and y are integers and x+y+xy=0. If x is not 0, what is the value of y?

A 1
B 2
C 0
D -1
E -2
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plug each choices into the equation x+y+xy=0 while x is not 0.

A. x+1+x=2x+1=0 in this case x is not an integer.
B. x+2+2x=3x+2=0 again, x is not an integer.
C. x=0, x cannot be 0.
D. x-1-x=-1 which cannot equal 0. equation doesn't hold.
E. x-2-2x=-x-2=0 thus, x=-2, y = -2
Answer E.
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Given that x and y are integers and x+y+xy=0. If x is not 0, 07 May 2008, 20:56
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x(1+y)+y=0


x(1+y)=-y
if y=-2

then it works..
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GMATBLACKBELT
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Given that x and y are integers and x+y+xy=0. If x is not 0, 08 May 2008, 05:37
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bkk145
Given that x and y are integers and x+y+xy=0. If x is not 0, what is the value of y?

A 1
B 2
C 0
D -1
E -2
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Hrmmm why am I getting B and E as possible answers???
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Nihit
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Given that x and y are integers and x+y+xy=0. If x is not 0, 08 May 2008, 05:48
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I think X should be > or < 0 .
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VPRedSoxFan
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Given that x and y are integers and x+y+xy=0. If x is not 0, 08 May 2008, 05:52
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If [B] was an answer for x, then y = -2/3 to solve the equation and that can't be since the stem says x and y are integers.

Like fresinha12 starts, you can solve this by isolating x:

x + y + xy = 0 = x + xy = -y

x(1 + y) = -y

x = -y/(1 + y)

The question stem says that x and y is an integer, therefore y/(1+y) must also be an integer. The only way it can be an integer (where the denominator is numerator +1) is if y = 0 or y = -2. Of course if y = 0, then x would have to be 0; that case is prohibited by the question stem so y = -2 and x = -2.

Answer choice [E]
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GMATBLACKBELT
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Given that x and y are integers and x+y+xy=0. If x is not 0, 08 May 2008, 07:36
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VPRedSoxFan
If [B] was an answer for x, then y = -2/3 to solve the equation and that can't be since the stem says x and y are integers.

Like fresinha12 starts, you can solve this by isolating x:

x + y + xy = 0 = x + xy = -y

x(1 + y) = -y

x = -y/(1 + y)

The question stem says that x and y is an integer, therefore y/(1+y) must also be an integer. The only way it can be an integer (where the denominator is numerator +1) is if y = 0 or y = -2. Of course if y = 0, then x would have to be 0; that case is prohibited by the question stem so y = -2 and x = -2.

Answer choice [E]
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DOH!!! X AND!!! Y are integers!!!
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RyanDe680
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Given that x and y are integers and x+y+xy=0. If x is not 0, 08 May 2008, 09:01
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GMATBLACKBELT
VPRedSoxFan
If [B] was an answer for x, then y = -2/3 to solve the equation and that can't be since the stem says x and y are integers.

Like fresinha12 starts, you can solve this by isolating x:

x + y + xy = 0 = x + xy = -y

x(1 + y) = -y

x = -y/(1 + y)

The question stem says that x and y is an integer, therefore y/(1+y) must also be an integer. The only way it can be an integer (where the denominator is numerator +1) is if y = 0 or y = -2. Of course if y = 0, then x would have to be 0; that case is prohibited by the question stem so y = -2 and x = -2.

Answer choice [E]

DOH!!! X AND!!! Y are integers!!!
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Word, I seemed to read right over that as well. :shock:



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This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
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