GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 06 Aug 2020, 01:23

### 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

# x=1−2y, and 5x+10y+z=5. What is the value of z?

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 65828
x=1−2y, and 5x+10y+z=5. What is the value of z?  [#permalink]

### Show Tags

23 Feb 2017, 05:30
00:00

Difficulty:

5% (low)

Question Stats:

86% (00:50) correct 14% (01:06) wrong based on 189 sessions

### HideShow timer Statistics

x=1−2y, and 5x+10y+z=5. What is the value of z?

A. -5
B. 0
C. 5
D. 10
E. The answer cannot be determined from the data provided.

_________________
Manager
Joined: 24 Oct 2013
Posts: 124
Location: India
Concentration: General Management, Strategy
WE: Information Technology (Computer Software)
Re: x=1−2y, and 5x+10y+z=5. What is the value of z?  [#permalink]

### Show Tags

23 Feb 2017, 05:36
z = 5 - 5x - 10y
substitute x = 1-2y in the above equation.

z = 5-5+10y-10Y = 0
Option B
Intern
Joined: 29 Nov 2016
Posts: 14
Schools: DeGroote
Re: x=1−2y, and 5x+10y+z=5. What is the value of z?  [#permalink]

### Show Tags

23 Feb 2017, 05:38
By setting z= 0, i re-arranged
5x+10y+0=5
5x=5-10y
X= 1-2y which is equal to the 1st equation.

Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 5033
Location: India
GPA: 3.5
Re: x=1−2y, and 5x+10y+z=5. What is the value of z?  [#permalink]

### Show Tags

23 Feb 2017, 07:57
Bunuel wrote:
x = 1 − 2y, and 5x+10y+z=5. What is the value of z?

A. -5
B. 0
C. 5
D. 10
E. The answer cannot be determined from the data provided.

$$5x + 10y + z = 5$$

Substitute, $$x = 1 − 2y$$ in the equation -

Or, $$5 ( 1 − 2y ) + 10y + z = 5$$

Or, $$5 − 10y + 10y + z = 5$$

Or, $$z = 0$$

Hence, z = 0, answer will be (B) 0
_________________
Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )
GMAT Club Legend
Joined: 11 Sep 2015
Posts: 4999
GMAT 1: 770 Q49 V46
Re: x=1−2y, and 5x+10y+z=5. What is the value of z?  [#permalink]

### Show Tags

23 Feb 2017, 08:20
Top Contributor
Bunuel wrote:
x = 1 - 2y, and 5x + 10y + z = 5. What is the value of z?

A. -5
B. 0
C. 5
D. 10
E. The answer cannot be determined from the data provided.

Given: x = 1 - 2y
Add 2y to both sides to get: x + 2y = 1

Given: 5x + 10y + z = 5
Notice that we have x + 2y "hiding" in this expression.
Rewrite the first two terms as follows: 5(x + 2y) + z = 5
Replace x + 2y with 1 to get: 5(1) + z = 5
Simplify: 5 + z = 5
Solve: z = 0

Cheers,
Brent
_________________
If you enjoy my solutions, you'll love my GMAT prep course.

Director
Joined: 06 Jan 2015
Posts: 793
Location: India
Concentration: Operations, Finance
GPA: 3.35
WE: Information Technology (Computer Software)
x=1−2y, and 5x+10y+z=5. What is the value of z?  [#permalink]

### Show Tags

Updated on: 27 Feb 2017, 17:24
Bunuel wrote:
x=1−2y, and 5x+10y+z=5. What is the value of z?

A. -5
B. 0
C. 5
D. 10
E. The answer cannot be determined from the data provided.

Hi,

Easy Question

x=1−2y, and 5x+10y+z=5

Sunstitute x=1-2y==>5(1-2y)+10y+z=5==>5-10y+10y+z=5

z=0

B

Typo Edited
_________________
आत्मनॊ मोक्षार्थम् जगद्धिताय च

Resource: GMATPrep RCs With Solution

Originally posted by NandishSS on 23 Feb 2017, 09:21.
Last edited by NandishSS on 27 Feb 2017, 17:24, edited 1 time in total.
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 11407
Location: United States (CA)
Re: x=1−2y, and 5x+10y+z=5. What is the value of z?  [#permalink]

### Show Tags

27 Feb 2017, 10:49
Bunuel wrote:
x=1−2y, and 5x+10y+z=5. What is the value of z?

A. -5
B. 0
C. 5
D. 10
E. The answer cannot be determined from the data provided.

We are given that x = 1 − 2y and 5x + 10y + z = 5.

We can substitute 1 − 2y for x in the equation 5x + 10y + z = 5:

5(1 - 2y) + 10y + z = 5

5 -10y + 10y + z = 5

5 + z = 5

z = 0

_________________

# Scott Woodbury-Stewart | Founder and CEO | Scott@TargetTestPrep.com

250 REVIEWS

5-STAR RATED ONLINE GMAT QUANT SELF STUDY COURSE

NOW WITH GMAT VERBAL (BETA)

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

Re: x=1−2y, and 5x+10y+z=5. What is the value of z?   [#permalink] 27 Feb 2017, 10:49