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# In the xy plane, does the line with equation y=3x+2 contain

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Intern
Joined: 26 Jan 2008
Posts: 25
In the xy plane, does the line with equation y=3x+2 contain  [#permalink]

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07 Sep 2008, 20:39
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In the xy plane, does the line with equation y=3x+2 contain point (r,s)?
(1) (3r+2-s)(4r+9-s) =0
(2) (4r-6-s)(3r+2-s) =0

need help. don't even know where to start. thanks!

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Senior Manager
Joined: 09 Oct 2007
Posts: 456
Re: DS- plane question  [#permalink]

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07 Sep 2008, 21:15
IMO it's C:

Replace r, s in the line equation:
s=3r+2 -or- 3r+2-s=0 ?

1) (3r+2-s)(4r+9-s) =0 INSUFF
2) (4r-6-s)(3r+2-s) =0 INSUFF
1+2) SUFF
Intern
Joined: 26 Jan 2008
Posts: 25
Re: DS- plane question  [#permalink]

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08 Sep 2008, 11:08
can you further explain please? i still don't see it. thanks
SVP
Joined: 07 Nov 2007
Posts: 1728
Location: New York
Re: DS- plane question  [#permalink]

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08 Sep 2008, 11:13
ttwang56 wrote:
In the xy plane, does the line with equation y=3x+2 contain point (r,s)?
(1) (3r+2-s)(4r+9-s) =0
(2) (4r-6-s)(3r+2-s) =0

need help. don't even know where to start. thanks!

If point (r,s) contains on the line with equation y=3x+2
then substitue x=r and y=s
s=3r+2
--> (3r+2-s)=0.
means only when (3r+2-s)=0 then point (r,s) lies on this equation.

1) (3r+2-s)(4r+9-s) =0
either (3r+2-s)=0 or (4r+9-s) =0
INSUFFICIENT
(2) (4r-6-s)(3r+2-s) =0
either (3r+2-s)=0 or (4r-6-s) =0
INSUFFCIENT.

combine.
(3r+2-s)=0
SUFFICIENT.
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Senior Manager
Joined: 09 Oct 2007
Posts: 456
Re: DS- plane question  [#permalink]

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08 Sep 2008, 11:30
ttwang56 wrote:
can you further explain please? i still don't see it. thanks

Did x2suresh's explanation helped?
Intern
Joined: 26 Jan 2008
Posts: 25
Re: DS- plane question  [#permalink]

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09 Sep 2008, 11:20
x2suresh wrote:
ttwang56 wrote:
In the xy plane, does the line with equation y=3x+2 contain point (r,s)?
(1) (3r+2-s)(4r+9-s) =0
(2) (4r-6-s)(3r+2-s) =0

need help. don't even know where to start. thanks!

If point (r,s) contains on the line with equation y=3x+2
then substitue x=r and y=s
s=3r+2
--> (3r+2-s)=0.
means only when (3r+2-s)=0 then point (r,s) lies on this equation.

1) (3r+2-s)(4r+9-s) =0
either (3r+2-s)=0 or (4r+9-s) =0
INSUFFICIENT
(2) (4r-6-s)(3r+2-s) =0
either (3r+2-s)=0 or (4r-6-s) =0
INSUFFCIENT.

combine.
(3r+2-s)=0
SUFFICIENT.

combining it together, does that cancel out the (4r+9-s) =0 or (4r-6-s) =0?
sorry i'm having a real issue with this question
Senior Manager
Joined: 09 Oct 2007
Posts: 456
Re: DS- plane question  [#permalink]

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09 Sep 2008, 15:23
Since both statements yield two different answer (yes, no) they are both insufficient.

When you combine then, they answer 'yes' to the question because they both point to the same answer.

For example:

What is the value of x?
1) x is 3, or 5
2) x is 5, or 6

Therefore, x = 5.

Hope it helps!

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Re: DS- plane question &nbs [#permalink] 09 Sep 2008, 15:23
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# In the xy plane, does the line with equation y=3x+2 contain

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