It is currently 19 Dec 2018, 04:09
My Tests

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.

If 3x + 2y = 24, and 7y / 2x= 7, then y =

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Moderator
Moderator
User avatar
Joined: 18 Apr 2015
Posts: 5205
Followers: 77

Kudos [?]: 1053 [0], given: 4711

CAT Tests
If 3x + 2y = 24, and 7y / 2x= 7, then y = [#permalink] New post 24 May 2017, 02:15
Expert's post
00:00

Question Stats:

87% (02:30) correct 12% (02:04) wrong based on 8 sessions



If 3x + 2y = 24, and \(\frac{7y}{2x}\)\(= 7\), then y =

enter your value


[Reveal] Spoiler: OA
\(\frac{48}{7}\)

_________________

Get the 2 FREE GREPrepclub Tests

1 KUDOS received
GRE Instructor
User avatar
Joined: 10 Apr 2015
Posts: 1255
Followers: 47

Kudos [?]: 1160 [1] , given: 7

Re: If 3x + 2y = 24, and 7y / 2x= 7, then y = [#permalink] New post 24 May 2017, 13:09
1
This post received
KUDOS
Expert's post
Carcass wrote:



If 3x + 2y = 24, and \(\frac{7y}{2x}= 7\), then y =

enter your value


[Reveal] Spoiler: OA
\(\frac{48}{7}\)


Let's deal with 7y/2x = 7 first.
Multiply both sides by 2x to get: 7y = 14x
Divide both sides by 7 to get: y = 2x

ASIDE: At this point, I COULD take 3x + 2y = 24 and replace y with 2x to get 3x + 2(2x) = 24 and solve the equation for x. HOWEVER, the question asks us to find the value of y. So, we'd need to then take that x-value and plug it in to one of the two equations and then solve THAT equation for y.
Rather than solve an extra equation, let's do the following:

We have: y = 2x
Divide both sides by 2 to get: y/2 = x
Now, we can take 3x + 2y = 24 and replace x with y/2 to get 3(y/2) + 2y = 24 [we now have an equation that we can directly solve for y!]
Simplify: 3y/2 + 2y = 24
Multiply both sides by 2 to get: 3y + 4y = 48
Simplify: 7y = 48
Solve: y = 48/7

Answer:
[Reveal] Spoiler:
48/7


RELATED VIDEO



_________________

Brent Hanneson – Creator of greenlighttestprep.com
Image
Sign up for our free GRE Question of the Day emails

Re: If 3x + 2y = 24, and 7y / 2x= 7, then y =   [#permalink] 24 May 2017, 13:09
Display posts from previous: Sort by

If 3x + 2y = 24, and 7y / 2x= 7, then y =

  Question banks Downloads My Bookmarks Reviews Important topics  


cron

GRE Prep Club Forum Home| About| Terms and Conditions and Privacy Policy| GRE Prep Club Rules| Contact

Powered by phpBB © phpBB Group

Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.