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If (1+x)y=y, which of the following must be true?

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Math Revolution GMAT Instructor
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If (1+x)y=y, which of the following must be true? [#permalink]

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New post 01 Jul 2016, 01:27
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If (1+x)y=y, which of the following must be true?
A. x=-1 or y=0
B. x=0 or y=0
C. x=1 or y=1
D. x=-1 or y=-1
E. x=0 or y=1

*An answer will be posted in 2 days.
[Reveal] Spoiler: OA

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Re: If (1+x)y=y, which of the following must be true? [#permalink]

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New post 01 Jul 2016, 03:15
We have (1+x)y=y.

If x=0, y=y. True
If y=0, (1+x)*0=0 True

So, B will be the answer.

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Re: If (1+x)y=y, which of the following must be true? [#permalink]

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New post 03 Jul 2016, 16:26
From y+xy=y, we get xy=0. Hence, the correct answer is B.
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Re: If (1+x)y=y, which of the following must be true? [#permalink]

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New post 03 Jul 2016, 20:21
MathRevolution wrote:
From y+xy=y, we get xy=0. Hence, the correct answer is B.


MathRevolution
By only having xy=0, we cannot say answer is B as A and E options also satisfy the condition xy=0.

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Re: If (1+x)y=y, which of the following must be true? [#permalink]

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New post 18 Sep 2016, 03:09
(1+x)y = y
y +xy = y
y + xy - y = 0
xy = 0
so x= 0 or y = 0
correct answer - B
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Re: If (1+x)y=y, which of the following must be true? [#permalink]

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New post 18 Sep 2016, 03:09
(1+x)y = y
y +xy = y
y + xy - y = 0
xy = 0
so x= 0 or y = 0
correct answer - B
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Re: If (1+x)y=y, which of the following must be true? [#permalink]

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New post 18 Sep 2016, 03:36
(1+x)Y=Y

since y is variable n we don`t know its sign hence cant eliminate directly.
so lets bring bring y to left side i.e. (1+x)y-y=0
here y is common i.e. Y(1+x-1)=0
by solving inner side of the bracket we got y(x) =0 & this is only possible when either of x or y must be zero
hence B is coorect
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Re: If (1+x)y=y, which of the following must be true? [#permalink]

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New post 04 Oct 2017, 11:02
Hello from the GMAT Club BumpBot!

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: If (1+x)y=y, which of the following must be true?   [#permalink] 04 Oct 2017, 11:02
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