Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 43892

Which of the following is the number of solutions to the system of equ [#permalink]
Show Tags
14 Feb 2016, 09:51
Question Stats:
37% (01:03) correct 63% (01:02) wrong based on 179 sessions
HideShow timer Statistics



Verbal Forum Moderator
Status: Greatness begins beyond your comfort zone
Joined: 08 Dec 2013
Posts: 1914
Location: India
Concentration: General Management, Strategy
GPA: 3.2
WE: Information Technology (Consulting)

Re: Which of the following is the number of solutions to the system of equ [#permalink]
Show Tags
14 Feb 2016, 19:46
1
This post received KUDOS
6x − 12 = 6y => 6x  6y = 12 => x y =2  1 5y + 5x = 15 =>x + y = 3  2 From equation 1 and 2 , we get 2x = 5 => x=2.5 y=.5 Therefore , the given system will have Exactly one solution Answer D
_________________
When everything seems to be going against you, remember that the airplane takes off against the wind, not with it.  Henry Ford The Moment You Think About Giving Up, Think Of The Reason Why You Held On So Long +1 Kudos if you find this post helpful



Manager
Status: Build your own dreams,Otherwise some one else will hire you to build there's.
Joined: 30 Apr 2015
Posts: 94
Location: India
Concentration: Finance
GMAT 1: 590 Q45 V26 GMAT 2: 660 Q47 V34
GPA: 3.68

Re: Which of the following is the number of solutions to the system of equ [#permalink]
Show Tags
15 Feb 2016, 05:29
I will also go with E. As \(X1/X2\)=\(Y1/Y2\neql{C1/C2}\)
_________________
"Follow your heart and realize that your dream is a dream for a reason" Dori Roberts



Director
Joined: 21 May 2013
Posts: 581

Re: Which of the following is the number of solutions to the system of equ [#permalink]
Show Tags
15 Feb 2016, 11:00
Skywalker18 wrote: 6x − 12 = 6y => 6x + 6y = 12 => x+y =2  1
5y + 5x = 15 =>x + y = 3  2 From equation 1 and 2 , we get 2=3 which is not possible Therefore the given system of equations has no solutions We can also view the given equation as 2 parallel lines . a1/a2=b1/b2 ≠ c1/c2
Answer E Hello, I think your answer is wrong, 1st equation should xy=2 Using both, we have x=2.5, y=.5 Answer D



Manager
Joined: 07 May 2015
Posts: 175
Location: India
GPA: 3

Re: Which of the following is the number of solutions to the system of equ [#permalink]
Show Tags
15 Feb 2016, 20:28
Skywalker18 wrote: 6x − 12 = 6y => 6x + 6y = 12 => x+y =2  1
5y + 5x = 15 =>x + y = 3  2 From equation 1 and 2 , we get 2=3 which is not possible Therefore the given system of equations has no solutions We can also view the given equation as 2 parallel lines . a1/a2=b1/b2 ≠ c1/c2
Answer E Shouldn't highlighted equation be : 6x6y=12 => xy = 2 equation 2 : x+y = 3 thus exactly 1 set of solution Ans:D



Intern
Joined: 07 Feb 2016
Posts: 6

Re: Which of the following is the number of solutions to the system of equ [#permalink]
Show Tags
15 Feb 2016, 21:00
Converting it to y=mx+c will help, no? We then have to check if these two are parallel. If they are not, we will have exactly one solution as equations themselves suggest that these are two lines.



Verbal Forum Moderator
Status: Greatness begins beyond your comfort zone
Joined: 08 Dec 2013
Posts: 1914
Location: India
Concentration: General Management, Strategy
GPA: 3.2
WE: Information Technology (Consulting)

Re: Which of the following is the number of solutions to the system of equ [#permalink]
Show Tags
15 Feb 2016, 21:04
KS15 and nipunjain14  Thanks , edited !!
_________________
When everything seems to be going against you, remember that the airplane takes off against the wind, not with it.  Henry Ford The Moment You Think About Giving Up, Think Of The Reason Why You Held On So Long +1 Kudos if you find this post helpful



NonHuman User
Joined: 09 Sep 2013
Posts: 13788

Re: Which of the following is the number of solutions to the system of equ [#permalink]
Show Tags
17 Apr 2017, 03:06
Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up  doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Books  GMAT Club Tests  Best Prices on GMAT Courses  GMAT Mobile App  Math Resources  Verbal Resources



Target Test Prep Representative
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2016

Re: Which of the following is the number of solutions to the system of equ [#permalink]
Show Tags
20 Apr 2017, 15:51
Bunuel wrote: 6x − 12 = 6y 5y + 5x = 15 Which of the following is the number of solutions to the system of equations shown above?
A. More than three B. Exactly three C. Exactly two D. Exactly one E. None Let’s simplify both equations: 6x − 12 = 6y 6x  6y = 12 x  y = 2 and 5y + 5x = 15 5x + 5y = 15 x + y = 3 Now if we add the two new equations x  y = 2 and x + y = 3, we would have 2x = 5 or x = 2.5. Since x + y = 3, we see that y must be 0.5. Thus we have exactly one solution  the ordered pair (2.5, 0.5). Answer: D
_________________
Jeffery Miller
Head of GMAT Instruction
GMAT Quant SelfStudy Course
500+ lessons 3000+ practice problems 800+ HD solutions



Manager
Joined: 17 Aug 2012
Posts: 172
Location: India
Concentration: General Management, Strategy
GPA: 3.75
WE: Consulting (Energy and Utilities)

Re: Which of the following is the number of solutions to the system of equ [#permalink]
Show Tags
26 Apr 2017, 09:08
These are not parallel line . For parallel line slope has to be same . Answer should be D



Manager
Joined: 27 Aug 2016
Posts: 95
Location: India
GPA: 3
WE: Engineering (Energy and Utilities)

Re: Which of the following is the number of solutions to the system of equ [#permalink]
Show Tags
14 May 2017, 10:25
Bunuel wrote: 6x − 12 = 6y 5y + 5x = 15 Which of the following is the number of solutions to the system of equations shown above?
A. More than three B. Exactly three C. Exactly two D. Exactly one E. None a lot of people r getting D as an answer, request expert advice.... from (i)....xy=2 from (ii)...x+y=3 solving...x=5/2 and y=1/2 exactly one solution.. D should b trhe answer answer would b E i.e no solution if in the original statement no (i) its a () 6y on RHS



Math Expert
Joined: 02 Sep 2009
Posts: 43892

Re: Which of the following is the number of solutions to the system of equ [#permalink]
Show Tags
14 May 2017, 10:34



Intern
Joined: 29 Aug 2015
Posts: 17

Which of the following is the number of solutions to the system of equ [#permalink]
Show Tags
22 May 2017, 12:14
Got tricked with the question . Exactly one solution as x= 5/2 and y = ½




Which of the following is the number of solutions to the system of equ
[#permalink]
22 May 2017, 12:14






