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

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Director
Joined: 17 Oct 2005
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In the xy-plane, does the line with equation y=3x+2 contain [#permalink]  07 Dec 2005, 19:32
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In the xy-plane, does the line with equation y=3x+2 contain the point (r,s)?

1) (3r+2-s)(4r+9-s) =0
2) (4r-6-s)(3r+2-s)=0
Director
Joined: 14 Sep 2005
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Location: South Korea
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[#permalink]  07 Dec 2005, 19:59
In the xy-plane, does the line with equation y=3x+2 contain the point (r,s)?

1) (3r+2-s)(4r+9-s) =0
2) (4r-6-s)(3r+2-s)=0

Statement1)

3r + 2 - s = 0 or 4r + 9 -s = 0
s = 3r + 2 or s = 4r + 9

Insufficient

Statement2)

4r - 6 - s = 0 or 3r + 2 - s = 0

s = 4r - 6 or s = 3r + 2

Insufficient

Statement1&2)

s = 3r + 2

Sufficient.
[/b]
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Director
Joined: 17 Oct 2005
Posts: 938
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Kudos [?]: 69 [0], given: 0

[#permalink]  08 Dec 2005, 19:40
the oa is C, great explanation
Manager
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Re: gmatprep DS [#permalink]  23 Nov 2009, 09:58
so if i generalise the 2 eqns
1) x * y = 0 i.e. x =0 or y =0
2) x * z =0 i.e. x =0 or z =0

combining 1 and 2 ..
conclude that x = 0

is that ok??
Re: gmatprep DS   [#permalink] 23 Nov 2009, 09:58
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# In the xy-plane, does the line with equation y=3x+2 contain

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