It is currently 19 Oct 2017, 07:58

# STARTING SOON:

Live Chat with Cornell Adcoms in Main Chat Room  |  R1 Interview Invites: MIT Sloan Chat  |  UCLA Anderson Chat  |  Duke Fuqua Chat (EA Decisions)

### 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 xy-plane, region R consists of all the points (x, y)

 post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
Intern
Joined: 07 Oct 2004
Posts: 6

Kudos [?]: 58 [0], given: 0

In the xy-plane, region R consists of all the points (x, y) [#permalink]

### Show Tags

09 Oct 2004, 10:09
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 xy-plane, region R consists of all the points (x, y) such that 2x + 3y = 6. Is the point (r, s) in region R ?

(1) 3r + 2s = 6
(2) r = 3 and s = 2

what exactly is the definition of region?

Kudos [?]: 58 [0], given: 0

Manager
Joined: 27 Aug 2004
Posts: 124

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

Location: US

### Show Tags

09 Oct 2004, 13:22
D

If we substitute value for x and y in 2x+3y and get 6 as the result then those values belong to region R.

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

Intern
Joined: 07 Oct 2004
Posts: 6

Kudos [?]: 58 [0], given: 0

### Show Tags

09 Oct 2004, 13:50
Then why D and not B?

If you take r = 0 and s = 3 then it fullfills statement 1 but it does not apply to Region R.

Kudos [?]: 58 [0], given: 0

Manager
Joined: 07 Sep 2004
Posts: 60

Kudos [?]: 1 [0], given: 0

### Show Tags

09 Oct 2004, 14:23
The region R defined by 2x+3y=6 is a straight line

for statement 1 we have 3r+2s=6 which gives that (r,s) are on a straight line different than R. so (r,s) does not necessary belong. but we have to make sure that it intersects it. (to prove that it belongs and doesn't belong)
as you can see from the 2 straight lines we have an intersection (6/5,6/5). so statement one is insufficient

for statement 2 we have the point (3,2) plugging it in the the straight line
2x+3y=6 we can know if it belongs or not. so statement 2 is sufficient

Answer is indeed B

Kudos [?]: 1 [0], given: 0

09 Oct 2004, 14:23
Display posts from previous: Sort by

# In the xy-plane, region R consists of all the points (x, y)

 post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.