Last visit was: 11 Sep 2024, 23:59 It is currently 11 Sep 2024, 23:59
Toolkit
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
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

# If 3x + 2y = 7 and 2x – y = 7, what is the value of x ?

SORT BY:
Tags:
Show Tags
Hide Tags
Math Expert
Joined: 02 Sep 2009
Posts: 95450
Own Kudos [?]: 657795 [2]
Given Kudos: 87245
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 6803
Own Kudos [?]: 31275 [0]
Given Kudos: 799
GMAT Club Legend
Joined: 03 Jun 2019
Posts: 5360
Own Kudos [?]: 4361 [0]
Given Kudos: 161
Location: India
GMAT 1: 690 Q50 V34
WE:Engineering (Transportation)
Intern
Joined: 31 Mar 2020
Posts: 12
Own Kudos [?]: 7 [0]
Given Kudos: 28
Location: India
Schools: YLP '20
Re: If 3x + 2y = 7 and 2x – y = 7, what is the value of x ? [#permalink]
3x+2y=7 ......(1)
2x-y=7 .......(2)

Multiplying (2) by 2,
4x-2y=14....... (3)

7x=21
x=3

Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 19445
Own Kudos [?]: 23196 [0]
Given Kudos: 286
Location: United States (CA)
Re: If 3x + 2y = 7 and 2x – y = 7, what is the value of x ? [#permalink]
Bunuel
If 3x + 2y = 7 and 2x – y = 7, what is the value of x ?

A. 0
B. 1
C. 7/5
D. 21/11
E. 3

PS21147

Solution:

From the second equation, we see that y = 2x - 7. Substituting this in the first equation, we have:

3x + 2(2x - 7) = 7

3x + 4x - 14 = 7

7x = 21

x = 3