GRE Prep 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
Track
Your Progress
Practice
Pays
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 =
[#permalink]
24 May 2017, 02:15
24 May 2017, 02:15
1
Expert Reply
2
Bookmarks
00:00
Question Stats:
86% (01:30) correct
13% (02:11) wrong based on 98 sessions
Hide Show timer Statistics
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
If 3x + 2y = 24, and 7y / 2x= 7, then y =
[#permalink]
24 May 2017, 13:09
24 May 2017, 13:09
1
Carcass wrote:
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: 48/7
Re: If 3x + 2y = 24, and 7y / 2x= 7, then y =
[#permalink]
07 Apr 2023, 21:09
07 Apr 2023, 21:09
How do we type fractions in GRE. I do not have any idea
