Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 22 May 2015, 20:30

### 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

# 2x + y = 12 |y| <= 12 For how many ordered pairs (x , y)

Author Message
TAGS:
Manager
Joined: 08 Aug 2008
Posts: 234
Followers: 1

Kudos [?]: 20 [0], given: 0

2x + y = 12 |y| <= 12 For how many ordered pairs (x , y) [#permalink]  10 Nov 2008, 04:20
2x + y = 12
|y| <= 12

For how many ordered pairs (x , y) that are solutions of the system above are x
and y both integers?
A. 7
B. 10
C. 12
D. 13
E. 14

I'm getting 13 as ans however not sure what ordered pairs mean..
no OE guys, lets discuss...
Manager
Joined: 30 Sep 2008
Posts: 111
Followers: 1

Kudos [?]: 10 [0], given: 0

Re: Ordered Pairs [#permalink]  10 Nov 2008, 04:34
|y| <= 12 <=> $$-12 <= y <= 12$$

2x + y = 12 => x = y/2 - 6, x is integer so y is even

=> y = -12, -10... , 8,10,12 => 13 possible y => 13 ordered pairs (x,y)
Manager
Joined: 14 Oct 2008
Posts: 160
Followers: 1

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

Re: Ordered Pairs [#permalink]  10 Nov 2008, 05:10
Yup i am getting 13 as well. whats the QA ?
SVP
Joined: 17 Jun 2008
Posts: 1570
Followers: 12

Kudos [?]: 202 [0], given: 0

Re: Ordered Pairs [#permalink]  10 Nov 2008, 05:54
13 should be correct.
Re: Ordered Pairs   [#permalink] 10 Nov 2008, 05:54
Similar topics Replies Last post
Similar
Topics:
30 For how many ordered pairs (x, y) that are solutions of the 14 14 Jan 2011, 15:40
2x+y=12 IyI<=12 For how many ordered pairs (x,y) that are 5 11 May 2008, 05:14
2x + y = 12 |y| <= 12 For how many ordered pairs (x , 3 01 Nov 2007, 11:50
2x + y = 12 |y| <= 12 For how many ordered pairs (x , y) 7 30 Aug 2007, 19:56
9 For how many ordered pairs (x , y) that are solutions of the 8 24 May 2007, 05:07
Display posts from previous: Sort by