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

It is currently 17 Oct 2019, 13:27

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

Given 2x + y + z = 3 and 5x + 3y + z = 8, what is the value of x + y -

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

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58402
Given 2x + y + z = 3 and 5x + 3y + z = 8, what is the value of x + y -  [#permalink]

Show Tags

New post 09 Dec 2015, 08:41
10
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

73% (01:55) correct 27% (02:34) wrong based on 206 sessions

HideShow timer Statistics

Most Helpful Expert Reply
GMAT Club Legend
GMAT Club Legend
User avatar
V
Joined: 12 Sep 2015
Posts: 4007
Location: Canada
Re: Given 2x + y + z = 3 and 5x + 3y + z = 8, what is the value of x + y -  [#permalink]

Show Tags

New post 09 Dec 2015, 08:54
4
3
Bunuel wrote:
Given 2x + y + z = 3 and 5x + 3y + z = 8, what is the value of x + y - z ?

A. -2
B. -1
C. 0
D. 1
E. 2



Given: 2x + y + z = 3 and 5x + 3y + z = 8
Take 2x + y + z = 3 and multiply both sides by 2 to get the EQUIVALENT fraction: 4x + 2y + 2z = 6

We now have:
5x + 3y + z = 8
4x + 2y + 2z = 6

Subtract the bottom equation from the top equation to get:
x + y - z = 2

Answer: E

Cheers,
Brent
_________________
Test confidently with gmatprepnow.com
Image
General Discussion
Manager
Manager
avatar
Joined: 15 Feb 2015
Posts: 92
Re: Given 2x + y + z = 3 and 5x + 3y + z = 8, what is the value of x + y -  [#permalink]

Show Tags

New post 09 Dec 2015, 10:20
1
Bunuel wrote:
Given 2x + y + z = 3 and 5x + 3y + z = 8, what is the value of x + y - z ?

A. -2
B. -1
C. 0
D. 1
E. 2

Source: GMATQuantum



A quick one!

Subtract Eq 1 from Eq2 ( both are given)

I got 3x+2y=5 wheni did that.

Again, from this equation, subtract eq1 ( 2x+y+z=3)

The answer is x+y-z=2

Hence E
Senior Manager
Senior Manager
User avatar
B
Joined: 28 Feb 2014
Posts: 291
Location: United States
Concentration: Strategy, General Management
Reviews Badge
Given 2x + y + z = 3 and 5x + 3y + z = 8, what is the value of x + y -  [#permalink]

Show Tags

New post 09 Dec 2015, 17:05
Given 2x + y + z = 3 and 5x + 3y + z = 8, what is the value of x + y - z ?

5x + 3y + z = 8
-2(2x + y + z = 3)

which equals x + y - z = 2

E. 2
Intern
Intern
avatar
Joined: 27 Oct 2015
Posts: 25
Re: Given 2x + y + z = 3 and 5x + 3y + z = 8, what is the value of x + y -  [#permalink]

Show Tags

New post 09 Dec 2015, 18:31
2x + y + z = 3
5x +3y + z = 8

Multiply the first equation by 2 and subtract it from the 2nd equation
x+y-z = 8 - 6 = 2
Retired Moderator
User avatar
P
Joined: 19 Mar 2014
Posts: 922
Location: India
Concentration: Finance, Entrepreneurship
GPA: 3.5
GMAT ToolKit User
Given 2x + y + z = 3 and 5x + 3y + z = 8, what is the value of x + y -  [#permalink]

Show Tags

New post 16 Jul 2017, 14:22
Given 2x + y + z = 3 and 5x + 3y + z = 8, what is the value of x + y - z ?

\(2x + y + z = 3\) ====> 1

\(5x + 3y + z = 8\) ====> 2


Multiply Eq. 1 by 2

\(4x + 2y + 2z = 6\) ===> 3

Substract Eq. 3 from 2

\(5x + 3y + z = 8\)
-\((4x + 2y + 2z = 6)\)

We Get:

\(x + y - z = 2\)

Hence, Answer is E

Did you like the answer? 1 Kudos Please :good
_________________
"Nothing in this world can take the place of persistence. Talent will not: nothing is more common than unsuccessful men with talent. Genius will not; unrewarded genius is almost a proverb. Education will not: the world is full of educated derelicts. Persistence and determination alone are omnipotent."

Best AWA Template: https://gmatclub.com/forum/how-to-get-6-0-awa-my-guide-64327.html#p470475
Manager
Manager
User avatar
G
Joined: 18 Jan 2017
Posts: 127
Re: Given 2x + y + z = 3 and 5x + 3y + z = 8, what is the value of x + y -  [#permalink]

Show Tags

New post 17 Jul 2017, 11:20
Bunuel wrote:
Given 2x + y + z = 3 and 5x + 3y + z = 8, what is the value of x + y - z ?

A. -2
B. -1
C. 0
D. 1
E. 2

Source: GMATQuantum




ANSWER:
====

2x + y + z = 3 and 5x + 3y + z = 8
Multiply both sides of 2x + y + z = 3 by 2
to get 4x + 2y + 2z = 6


5x + 3y + z = 8
4x + 2y + 2z = 6
Subtract them to get x + y - z = 2

Hence the answer is E
_________________
A KUDO = A Thank-you. If this post helped you, please send a KUDO across.

YOU CAN LEARN ANYTHING!
MY GMAT BLOG ---> https://gmatclub.com/forum/a-fitness-mat-some-music-few-books-and-the-gmat-245808.html
Target Test Prep Representative
User avatar
G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2816
Re: Given 2x + y + z = 3 and 5x + 3y + z = 8, what is the value of x + y -  [#permalink]

Show Tags

New post 20 Jul 2017, 16:37
Bunuel wrote:
Given 2x + y + z = 3 and 5x + 3y + z = 8, what is the value of x + y - z ?

A. -2
B. -1
C. 0
D. 1
E. 2


We can multiply the first equation by -2, and we have:

-4x - 2y - 2z = -6

Adding the above equation with the equation 5x + 3y + z = 8, we have:

x + y - z = 2

Answer: E
_________________

Jeffrey Miller

Head of GMAT Instruction

Jeff@TargetTestPrep.com
TTP - Target Test Prep Logo
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

SVP
SVP
User avatar
P
Joined: 03 Jun 2019
Posts: 1699
Location: India
Premium Member Reviews Badge CAT Tests
Re: Given 2x + y + z = 3 and 5x + 3y + z = 8, what is the value of x + y -  [#permalink]

Show Tags

New post 22 Aug 2019, 19:20
Bunuel wrote:
Given 2x + y + z = 3 and 5x + 3y + z = 8, what is the value of x + y - z ?

A. -2
B. -1
C. 0
D. 1
E. 2

Source: GMATQuantum


Given:
2x + y + z = 3 (1)
5x + 3y + z = 8 (2)

Asked: what is the value of x + y - z?

(2)-2*(1) gives
x+y-z=8-2*3=2

IMO E

Posted from my mobile device
_________________
"Success is not final; failure is not fatal: It is the courage to continue that counts."

Please provide kudos if you like my post. Kudos encourage active discussions.

My GMAT Resources: -

Efficient Learning
All you need to know about GMAT quant

Tele: +91-11-40396815
Mobile : +91-9910661622
E-mail : kinshook.chaturvedi@gmail.com
GMAT Club Bot
Re: Given 2x + y + z = 3 and 5x + 3y + z = 8, what is the value of x + y -   [#permalink] 22 Aug 2019, 19:20
Display posts from previous: Sort by

Given 2x + y + z = 3 and 5x + 3y + z = 8, what is the value of x + y -

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





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne