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# What is the value of xy ? (1) y = x – 2 (2) y + 2 = x^3

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Math Expert
Joined: 02 Sep 2009
Posts: 55271
What is the value of xy ? (1) y = x – 2 (2) y + 2 = x^3  [#permalink]

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03 Sep 2017, 05:36
00:00

Difficulty:

25% (medium)

Question Stats:

76% (01:26) correct 24% (01:00) wrong based on 52 sessions

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What is the value of xy ?

(1) y = x – 2
(2) y + 2 = x^3

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Math Expert
Joined: 02 Aug 2009
Posts: 7686
Re: What is the value of xy ? (1) y = x – 2 (2) y + 2 = x^3  [#permalink]

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03 Sep 2017, 08:20
Bunuel wrote:
What is the value of xy ?

(1) y = x – 2
(2) y + 2 = x^3

Hi..

Clearly each statement alone is insufficient , so let's see combined

y=x-2 or x=y+2
Also $$x^3=y+2..........so...x=x^3.....x^3-x=0.....x(x^2-1)=0$$
So x can be 0,1 or -1
And for X=0, y =x-2=-2.... Irrespective of y, xy=0
x=1, y=1-2=-1..xy=-1
Insufficient

E
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Re: What is the value of xy ? (1) y = x – 2 (2) y + 2 = x^3   [#permalink] 03 Sep 2017, 08:20
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