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# does xy = x^2 1 xy = y^2 2 x^2 = y^2

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Manager
Joined: 16 Jul 2003
Posts: 71
Followers: 1

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does xy = x^2 1 xy = y^2 2 x^2 = y^2 [#permalink]  08 Sep 2004, 06:27
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does xy = x^2

1 xy = y^2
2 x^2 = y^2
Director
Joined: 20 Jul 2004
Posts: 593
Followers: 1

Kudos [?]: 53 [0], given: 0

[#permalink]  08 Sep 2004, 06:36
C?

Question: xy = x^2?
x (y-x) = 0?
x = 0? OR x = y?

Statement I
xy-y^2 = 0
y = 0 OR x=y
Insuff

Statement II
x^2-y^2 = 0
x = y OR x=-y
Insuff

Together,
Sutrating statement 1 from statement 1 gives question eqn.
Sufficient.
Manager
Joined: 02 Apr 2004
Posts: 224
Location: Utrecht
Followers: 1

Kudos [?]: 13 [0], given: 0

[#permalink]  08 Sep 2004, 06:36
I think A is the answer.

st.1
xy = y^2

x = y^2/y

x = y/1

y = 3, x = 3--> 3*3 = 3^2
y = -3, x = -3--> -3 * -3 = -3^2

st.2
x^2 = y^2
x = -3, y could be 3 or -3

Please correct me if I am wrong.
(I am trying to learn a lot from you guys)

Regards,

Alex
Director
Joined: 16 Jun 2004
Posts: 893
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[#permalink]  08 Sep 2004, 07:43
Alex,
What if y=0 and X is not.

Iagree with hardworker - its always ideal to rewrite it as an equation as outlined by hardworker.

I will go with C too.
Manager
Joined: 16 Jul 2003
Posts: 71
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[#permalink]  08 Sep 2004, 07:48
venksune wrote:
Alex,
What if y=0 and X is not.

Iagree with hardworker - its always ideal to rewrite it as an equation as outlined by hardworker.

I will go with C too.

Its C - got confused between A and C too, but writing down the equation as hardworker did makes sense. Thanks guys
Manager
Joined: 02 Apr 2004
Posts: 224
Location: Utrecht
Followers: 1

Kudos [?]: 13 [0], given: 0

[#permalink]  08 Sep 2004, 07:49
I agree with C too.

Hardworker just gave me an important tool I can use on the real test.

Regards,

Alex
Manager
Joined: 31 Aug 2004
Posts: 166
Location: Vancouver, BC, Canada
Followers: 1

Kudos [?]: 4 [0], given: 0

[#permalink]  08 Sep 2004, 09:13
Nice work, hardworker...
I miss the possiblity of 0 as well...

I pick A at first but C should be the answer.

[#permalink] 08 Sep 2004, 09:13
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# does xy = x^2 1 xy = y^2 2 x^2 = y^2

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