BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Target Test Prep · GMAT

Choose how you want to prepare

Learn live with an expert or move at your own pace. Every option includes the complete TTP study system.

★★★★★5.0559 reviews
GMATLiveTeach 7 seats left
Chris Peckover
NEXT LIVE COHORT

Oct 13 to Jan 7, 2027

with Chris Peckover

Schedule
Tue, Thu · 8:00 to 10:00 PM ET
Included
40 live hours + 6 months of GMAT OnDemand
  • Live instruction and real-time questions
  • Class recordings and assigned practice
View class & enroll
Limited cohort · enrollment openTarget Test Prep
EALiveTeach 5 seats left
Logan Thompson
EXECUTIVE ASSESSMENT

Sep 6 to Dec 6, 2026

with Logan Thompson

Schedule
Sun · 9:30 AM to 12:30 PM ET
Included
40 hours of live online classes plus six months of access to the complete TTP EA OnDemand course.
  • 165+ EA Score Guarantee
  • 4,100+ Quant, Verbal, and Integrated Reasoning practice questions
  • 400+ hours of in-depth video lessons
  • 3,000+ step-by-step video solutions
View EA class & enroll
Limited cohort · enrollment openTarget Test Prep
GMATOnDemand Start anytime
SELF-PACED MASTERCLASS

Target Test Prep GMAT OnDemand

Complete access from day one. Study on your schedule.

715+ score guarantee
$0to start then $127/mo
  • Personalized study plan and analytics
  • Thousands of lessons and practice questions
Start free 5-day trial
Read 559 reviewsTarget Test Prep

Compare the format, schedule, and included access before enrolling. Prices and seat counts shown reflect the supplied offer details.

If 3x + 2y = -2z, what is x?

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Source: — Data Sufficiency |
User avatar
GMAT Instructor
Posts: 1449
Joined: Sat Oct 09, 2010 2:16 pmFollowed by: 33 members
Thanked: 59 times

by fskilnik@GMATH » Thu Sep 06, 2018 4:38 am
BTGmoderatorDC wrote:If 3x + 2y = -2z, what is x?

(1) x - y - z = 10

(2) x + y + z = -2
\[? = x\]
\[3x + 2y = - 2z\,\,\,\, \Rightarrow \,\,\,\,3x = - 2\left( {y + z} \right)\,\,\,\,\,\,\left( * \right)\]
\[\left( 1 \right)\,\,\,\,x - \left( {y + z} \right) = 10\,\,\,\,\,\mathop \Rightarrow \limits^{ \cdot \,\,2} \,\,\,\,\,\,2x - 2\left( {y + z} \right) = 20\,\,\,\,\,\mathop \Rightarrow \limits^{\left( * \right)} \,\,\,\,\,\,2x + 3x = 20\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\,x\,\,\,{\text{unique}}\]
\[\left( 2 \right)\,\,\,x + \left( {y + z} \right) = - 2\,\,\,\,\,\mathop \Rightarrow \limits^{ \cdot \,\,2} \,\,\,\,\,\,2x + 2\left( {y + z} \right) = - 4\,\,\,\,\,\mathop \Rightarrow \limits^{\left( * \right)} \,\,\,\,\,\,2x - 3x = - 4\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\,x\,\,\,{\text{unique}}\]

This solution follows the notations and rationale taught in the GMATH method.

Regards,
fskilnik.
Fabio Skilnik :: GMATH method creator ( Math for the GMAT)
English-speakers :: https://www.gmath.net
Portuguese-speakers :: https://www.gmath.com.br
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
GMAT Instructor
Posts: 15539
Joined: Tue May 25, 2010 12:04 pmFollowed by: 1906 members
Location: New York, NY
Thanked: 13060 times
GMAT Score:790

by GMATGuruNY » Thu Sep 06, 2018 5:15 am
BTGmoderatorDC wrote:If 3x + 2y = -2z, what is x?

(1) x - y - z = 10

(2) x + y + z = -2
Prompt: 3x + 2y + 2z = 0

Statement 1:
Multiplying by 2, we get:
2x - 2y - 2z = 20
Adding together 3x+2y+2z=0 and 2x-2y-2z=20, we get:
(3x+2y+2z) + (2x-2y-2z) = 0 + 20
5x=20
x=4.
SUFFICIENT.

Statement 2:
Multiplying by 2, we get:
2x + 2y + 2z = -4
Subtracting 2x+2y+2z = -4 from 3x+2y+2z=0, we get:
(3x+2y+2z) - (2x+2y+2z) = 0 - (-4)
x=4.
SUFFICIENT.

The correct answer is D.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.

As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.

For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 16207
Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members
Location: Vancouver, BC
Thanked: 5254 times
GMAT Score:770

by Brent@GMATPrepNow » Thu Sep 06, 2018 5:21 am
BTGmoderatorDC wrote:If 3x + 2y = -2z, what is x?

(1) x - y - z = 10
(2) x + y + z = -2
Target question: What is the value of x?

Given: 3x + 2y = -2z
Notice that the two statements have the variables all on the left side of the equation. So, let's rearrange our given equation to look the same.
Take: 3x + 2y = -2z
Add 2z to both sides to get: 3x + 2y + 2z = 0

Statement 1: x - y - z = 10
Take this equation and multiply both sides by 2 to get the EQUIVALENT equation 2x - 2y - 2z = 20
So, we have:
2x - 2y - 2z = 20
3x + 2y + 2z = 0

Add the equations to get: 5x = 20
Solve: x = 4
So, the answer to the target question is x = 4
Since we can answer the target question with certainty, statement 1 is SUFFICIENT


Statement 2: x + y + z = -2
Take this equation and multiply both sides by 2 to get the EQUIVALENT equation 2x + 2y + 2z = -4
So, we have:
2x + 2y + 2z = -4
3x + 2y + 2z = 0

Subtract the bottom equation from the top equation to get:
-x = -4
Solve: x = 4
So, the answer to the target question is x = 4
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Answer: D

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
Image
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1