In the x-y plane, does the line with equation y = 3x + 2 : DS Archive
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 18 Jan 2017, 07:09

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

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

Author Message
Senior Manager
Joined: 01 Jan 2007
Posts: 325
Followers: 2

Kudos [?]: 24 [0], given: 0

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

### Show Tags

22 Apr 2007, 08:42
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions

### HideShow timer Statistics

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

In the x-y 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: 26 Feb 2006
Posts: 904
Followers: 4

Kudos [?]: 107 [0], given: 0

### Show Tags

22 Apr 2007, 10:14
javed wrote:
In the x-y 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

I am looking for a simple and easy way to with this question.
Manager
Joined: 28 Feb 2007
Posts: 197
Location: California
Followers: 3

Kudos [?]: 8 [0], given: 0

### Show Tags

22 Apr 2007, 10:41
javed wrote:
In the x-y 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

If (r,s) lies on y = 3x + 2 then s = 3r + 2

From (1) we have s = 3r+2 and s=4r + 9 so INSUFF
From (2) we have s = 4r + 6 and s = 3r + 2 so INSUFF

From (1) and (2) s = 3r + 2 hence SUFF

SVP
Joined: 01 May 2006
Posts: 1797
Followers: 9

Kudos [?]: 149 [0], given: 0

### Show Tags

22 Apr 2007, 11:57
Director
Joined: 19 Mar 2007
Posts: 524
Followers: 3

Kudos [?]: 32 [0], given: 0

### Show Tags

22 Apr 2007, 23:20
Guys, please explain how you solve these equations.

Quote:
(3r + 2 - s)(4r +9 - s) = 0
(4r - 6 - s)(3r + 2 - s) = 0
VP
Joined: 08 Jun 2005
Posts: 1146
Followers: 7

Kudos [?]: 189 [0], given: 0

### Show Tags

23 Apr 2007, 00:13
nick_sun wrote:
Guys, please explain how you solve these equations.

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

you don't have to solve them:

when you know that (3r + 2 - s)(4r +9 - s) = 0

either (3r + 2 - s) = 0 or (4r +9 - s) = 0

but we can't know which one ! (think on (x-2)(x-3) = 0 , either x = 2 or x

= 3 but you can't say for sure which one)

from statement 2 - we know that (4r - 6 - s)(3r + 2 - s) = 0

either (3r + 2 - s) = 0 or (4r - 6 - s) = 0 (same problem as statement 1)

if both statements are correct & using both statements (choice C) we can

say that 3r + 2 - s = 0

if it was not equal 0 then 4r - 6 - s had to be equal to 4r + 9 - s

but we know its not equal !!! (look at -6,9)

hence the the answer is (C)
Senior Manager
Joined: 01 Jan 2007
Posts: 325
Followers: 2

Kudos [?]: 24 [0], given: 0

### Show Tags

23 Apr 2007, 04:36
Fig wrote:

y = 3x+2
<3x> 3r+2-s = 0 ? (A)

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

implies that
o 3r+2-s = 0 exactly (A)
or
o 4r+9-s = 0 : 1 point is shared with (A)

INSUFF

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

implies that
o 4r-6-s = 0 : 1 point is shared with (A)
or
o 3r+2-s = 0 exactly (A)

INSUFF

Both (1) & (2)

We have this system of equations :

o 4r+9-s = 0 or 3r+2-s = 0 (I)
AND
o 4r-6-s = 0 or 3r+2-s = 0 (II)

The "and" operand forces to look for an equation in (I) and (II) that guarantes both to be equal to 0. Hence, we have to choose 3r+2-s = 0.

SUFF.

Javed.

Cheers!
23 Apr 2007, 04:36
Display posts from previous: Sort by