GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 20 Nov 2018, 15:59

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel
Events & Promotions in November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
  • All GMAT Club Tests are Free and open on November 22nd in celebration of Thanksgiving Day!

     November 22, 2018

     November 22, 2018

     10:00 PM PST

     11:00 PM PST

    Mark your calendars - All GMAT Club Tests are free and open November 22nd to celebrate Thanksgiving Day! Access will be available from 0:01 AM to 11:59 PM, Pacific Time (USA)
  • Free lesson on number properties

     November 23, 2018

     November 23, 2018

     10:00 PM PST

     11:00 PM PST

    Practice the one most important Quant section - Integer properties, and rapidly improve your skills.

The system of equations has how many solutions?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50711
The system of equations has how many solutions?  [#permalink]

Show Tags

New post 18 Oct 2018, 01:02
1
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

55% (00:51) correct 45% (01:07) wrong based on 29 sessions

HideShow timer Statistics

Intern
Intern
avatar
B
Joined: 29 Jan 2017
Posts: 6
Re: The system of equations has how many solutions?  [#permalink]

Show Tags

New post 18 Oct 2018, 01:18
IMO A.
Solving the two equations we get
x-2y=3 and x-2y=-3
There are no such values of x and y that satisfy both the equations.

Posted from my mobile device
Intern
Intern
User avatar
B
Joined: 13 Mar 2018
Posts: 24
GPA: 3.12
WE: Project Management (Other)
The system of equations has how many solutions?  [#permalink]

Show Tags

New post 18 Oct 2018, 01:28
Bunuel wrote:
The system of equations has how many solutions?

3x - 6y = 9
2y - x - 3 = 0


A. None
B. Exactly 1
C. Exactly 2
D. Exactly 3
E. Infinitely many


By rearranging and deducing two equations, we get

=>3x-6y=9
=>x-2y=3 ---- Equation 1

=>2y-x-3=0
=>x-2y+3=0
=>x-2y=-3 -------Equation 2

Now please note the following rules:
if two equation are given as :
ax+by=c
dx+ey=f

then if
a/d=b/e=c/f, then equations have infinite no. of solutions,
a/d not equal to b/e, then equations have a unique solution and
a/d=b/e not equal to c/f, then equations have no solution

Now applying above rules to equation 1 & 2, mentioned above
we get, 1/1=-2/-2 not equal to 3/-3
Hence, these equation have no solution. So, option A should be the correct option.
GMAT Club Bot
The system of equations has how many solutions? &nbs [#permalink] 18 Oct 2018, 01:28
Display posts from previous: Sort by

The system of equations has how many solutions?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

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®.