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

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

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New post 07 Sep 2008, 19:39
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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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Re: DS- plane question [#permalink]

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New post 07 Sep 2008, 20:15
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
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Re: DS- plane question [#permalink]

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New post 08 Sep 2008, 10:08
can you further explain please? i still don't see it. thanks
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Re: DS- plane question [#permalink]

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New post 08 Sep 2008, 10:13
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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Re: DS- plane question [#permalink]

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New post 08 Sep 2008, 10:30
ttwang56 wrote:
can you further explain please? i still don't see it. thanks


Did x2suresh's explanation helped?
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Re: DS- plane question [#permalink]

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New post 09 Sep 2008, 10:20
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
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Re: DS- plane question [#permalink]

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New post 09 Sep 2008, 14:23
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!
Re: DS- plane question   [#permalink] 09 Sep 2008, 14:23
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In the xy plane, does the line with equation y=3x+2 contain

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