Last visit was: 13 Dec 2024, 20:19 It is currently 13 Dec 2024, 20:19
Home
GMAT
Messages
Tests
Schools
Reviews
Social
Chat
My Profile
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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
Back to Forum
Create Topic
avatar
TheUltimateWinner
avatar
Schools: Harvard '24 Judge '23 LBS '24 McCombs '24 Mendoza Tepper '24 Ross '24 Cox Marshall '24 Fisher Kelley '24 Jones McDonough '24 Owen '24 Terry BU Simon '24 Katz GWU Mason Babson Gabelli Foster '24 Goizueta '24 Scheller Stern '23 CBS '23 Booth '23 Haas '25 Wharton '25 Stanford '26 Johnson'23 Fuqua '23 Kellogg '23 Kenan-Flagler'23 INSEAD Aug 22 intake Olin '23 Said '23 Sloan '23 Carey Arizona "22 Yale '23 UC Davis Madison '23 Anderson '23 Carroll Carlson '23 Darden '23
Posts: 2,509
Kudos: 2,245
 []
In the xy-plane, does the point (a, b) fall on line y=2x-3? 11 Aug 2020, 08:16
1
Kudos
Add Kudos
2
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

35% (medium)

Question Stats:

62% (01:13) correct 38% (01:29) wrong based on 173 sessions

History

Date
Time
Result
Not Attempted Yet
In the xy-plane, does the point (a, b) fall on line \(y=2x-3\)?

(1) \(2a-b=3\)
(2) \(2b-a=-3\)
ShowHide Answer
Official Answer
A
avatar
somyamehta777
avatar
Joined: 13 Aug 2020
Last visit: 26 Sep 2024
Posts: 28
Own Kudos:
21
Given Kudos: 23
Concentration: Marketing, International Business
Posts: 28
Kudos: 21
In the xy-plane, does the point (a, b) fall on line y=2x-3? 13 Aug 2020, 03:49
Kudos
Add Kudos
Bookmarks
Bookmark this Post
1 is insufficient to get point a & b

Similarly, statement 2 is insufficient to get point a & b

combine 1 & 2 to get points a & b and put the value of a & b back in the equation to check if it satisfies.
avatar
Ankit137
avatar
Joined: 11 May 2020
Last visit: 02 Nov 2023
Posts: 15
Own Kudos:
6
Given Kudos: 28
Location: India
GMAT 1: 610 Q47 V27
GMAT 2: 670 Q49 V34
GMAT 2: 670 Q49 V34
Posts: 15
Kudos: 6
In the xy-plane, does the point (a, b) fall on line y=2x-3? 30 Aug 2020, 21:07
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Can someone please explain how 'A' is the answer? A bit confused here with the answer.
avatar
aloysiusgaul
avatar
Joined: 15 Aug 2020
Last visit: 18 May 2021
Posts: 25
Own Kudos:
28
 []
Given Kudos: 12
Location: United States
Schools: Kellogg (I) Wharton (D) Booth '23 (D)
GMAT 1: 740 Q47 V44
GPA: 3.6
Schools: Kellogg (I) Wharton (D) Booth '23 (D)
GMAT 1: 740 Q47 V44
Posts: 25
Kudos: 28
 []
In the xy-plane, does the point (a, b) fall on line y=2x-3? 31 Aug 2020, 05:18
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Ankit137

If this helps, feel free to give a kudos

In the xy-plane, does the point (a, b) fall on line y= 2x - 3
1) 2a - b = 3
2) 2b - a = 3

We know that (a,b) is the same as (x,y) and for the point to lie on the line, it must be equal to y = 2x - 3, which is the same as b = 2a - 3

1. 2a - b = 3
Subtract 3 froM each side and add b to each side
2a - 3 = b
This is our exact equation we are seeking. SUFFICIENT

2. 2b - a = 3
We need to isolate b, so
B = (a+ 3)/2
This isn’t equivalent to the original, so we can’t be sure if the points are on the same line. INSUFFICIENT

Posted from my mobile device
avatar
Ankit137
avatar
Joined: 11 May 2020
Last visit: 02 Nov 2023
Posts: 15
Own Kudos:
6
Given Kudos: 28
Location: India
GMAT 1: 610 Q47 V27
GMAT 2: 670 Q49 V34
GMAT 2: 670 Q49 V34
Posts: 15
Kudos: 6
In the xy-plane, does the point (a, b) fall on line y=2x-3? 31 Aug 2020, 08:27
Kudos
Add Kudos
Bookmarks
Bookmark this Post
aloysiusgaul

Aren't x,y point on the line and a,b intercepts? My coordinates geometry isn't that good, so this would be a great help!
avatar
aloysiusgaul
avatar
Joined: 15 Aug 2020
Last visit: 18 May 2021
Posts: 25
Own Kudos:
28
 []
Given Kudos: 12
Location: United States
Schools: Kellogg (I) Wharton (D) Booth '23 (D)
GMAT 1: 740 Q47 V44
GPA: 3.6
Schools: Kellogg (I) Wharton (D) Booth '23 (D)
GMAT 1: 740 Q47 V44
Posts: 25
Kudos: 28
 []
In the xy-plane, does the point (a, b) fall on line y=2x-3? 31 Aug 2020, 08:50
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Ankit137
aloysiusgaul

Aren't x,y point on the line and a,b intercepts? My coordinates geometry isn't that good, so this would be a great help!

In statement 1, the equations are the same, so there is only one line. Every point is an intercept, which means any value of (a,b) will be on the line. If there were a limited number of intercepts (y=Mx+b and y= -Mx+b) you would have to know what specific value a or b had and then see if the equations produce the same result.

That’s why statement 2 is insufficient. We have no information on what a or b are in absolute terms, so we don’t know whether a specific point is an intercept or not. But in statement 1, every point is an intercept regardless of absolute values for a or b.

Posted from my mobile device
avatar
TheUltimateWinner
avatar
Schools: Harvard '24 Judge '23 LBS '24 McCombs '24 Mendoza Tepper '24 Ross '24 Cox Marshall '24 Fisher Kelley '24 Jones McDonough '24 Owen '24 Terry BU Simon '24 Katz GWU Mason Babson Gabelli Foster '24 Goizueta '24 Scheller Stern '23 CBS '23 Booth '23 Haas '25 Wharton '25 Stanford '26 Johnson'23 Fuqua '23 Kellogg '23 Kenan-Flagler'23 INSEAD Aug 22 intake Olin '23 Said '23 Sloan '23 Carey Arizona "22 Yale '23 UC Davis Madison '23 Anderson '23 Carroll Carlson '23 Darden '23
Posts: 2,509
Kudos: 2,245
In the xy-plane, does the point (a, b) fall on line y=2x-3? 06 Sep 2020, 10:19
Kudos
Add Kudos
Bookmarks
Bookmark this Post
TheUltimateWinner
In the xy-plane, does the point (a, b) fall on line \(y=2x-3\)?
1) \(2a-b=3\)
2) \(2b-a=-3\)
Hi IanStewart,
Can you share your thought, please? I need short cut way to save time!
User avatar
IanStewart
User avatar
GMAT Tutor
Joined: 24 Jun 2008
Last visit: 13 Dec 2024
Posts: 4,126
Own Kudos:
9,919
 []
Given Kudos: 97
 Q51  V47
Expert reply
Posts: 4,126
Kudos: 9,919
 []
In the xy-plane, does the point (a, b) fall on line y=2x-3? 06 Sep 2020, 10:27
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
A point (a, b) is on a line if the point satisfies the equation of the line. So the point (a, b) is on the line y = 2x - 3 if it is true that b = 2a - 3. Statement 1 tells us exactly that (if we rearrange it), while Statement 2 does not, so A is the answer.
User avatar
stne
User avatar
Joined: 27 May 2012
Last visit: 13 Dec 2024
Posts: 1,736
Own Kudos:
1,646
Given Kudos: 645
Posts: 1,736
Kudos: 1,646
In the xy-plane, does the point (a, b) fall on line y=2x-3? 07 Sep 2020, 09:21
Kudos
Add Kudos
Bookmarks
Bookmark this Post
IanStewart
A point (a, b) is on a line if the point satisfies the equation of the line. So the point (a, b) is on the line y = 2x - 3 if it is true that b = 2a - 3. Statement 1 tells us exactly that (if we rearrange it), while Statement 2 does not, so A is the answer.


IanStewart Sir,
Although using my gut feeling I marked A. I had a question, if the points satisfied the equation of the line the equation would be \(b=2a-3\) or \(2a-b=3 \)

Statement \(2) 2b−a=−3\)
Now looking at statement 2 since this is NOT of the form \(b=2a-3\) why can't I say that this does not satisfy the eqn. of the line , hence does not lie on the line and is SUFF too?
User avatar
IanStewart
User avatar
GMAT Tutor
Joined: 24 Jun 2008
Last visit: 13 Dec 2024
Posts: 4,126
Own Kudos:
9,919
 []
Given Kudos: 97
 Q51  V47
Expert reply
Posts: 4,126
Kudos: 9,919
 []
In the xy-plane, does the point (a, b) fall on line y=2x-3? 07 Sep 2020, 10:13
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
stne
Statement \(2) 2b−a=−3\)
Now looking at statement 2 since this is NOT of the form \(b=2a-3\) why can't I say that this does not satisfy the eqn. of the line , hence does not lie on the line and is SUFF too?

That's a good question, one I probably should have addressed in my previous post. Statement 2 is not sufficient, because if 2b - a = -3 is true, it is still possible that 2a - b = 3 is also true, and thus it is still possible for the point to be on the line. If you solve those two equations together, you find a = 1 and b = -1. So using Statement 2 alone, maybe the point is (1, -1), and the point is on the line (that's the only case where the answer to the original question will be 'yes'). But using Statement 2 alone, maybe the point is (3, 0), say, which is not on the line, so we can also get a 'no' answer. So Statement 2 is not sufficient.
User avatar
stne
User avatar
Joined: 27 May 2012
Last visit: 13 Dec 2024
Posts: 1,736
Own Kudos:
1,646
Given Kudos: 645
Posts: 1,736
Kudos: 1,646
In the xy-plane, does the point (a, b) fall on line y=2x-3? 07 Sep 2020, 10:24
Kudos
Add Kudos
Bookmarks
Bookmark this Post
IanStewart
stne
Statement \(2) 2b−a=−3\)
Now looking at statement 2 since this is NOT of the form \(b=2a-3\) why can't I say that this does not satisfy the eqn. of the line , hence does not lie on the line and is SUFF too?

That's a good question, one I probably should have addressed in my previous post. Statement 2 is not sufficient, because if 2b - a = -3 is true, it is still possible that 2a - b = 3 is also true, and thus it is still possible for the point to be on the line. If you solve those two equations together, you find a = 1 and b = -1. So using Statement 2 alone, maybe the point is (1, -1), and the point is on the line (that's the only case where the answer to the original question will be 'yes'). But using Statement 2 alone, maybe the point is (3, 0), say, which is not on the line, so we can also get a 'no' answer. So Statement 2 is not sufficient.

Thank you Sir, this clears everything! Much obliged.
avatar
TheUltimateWinner
avatar
Schools: Harvard '24 Judge '23 LBS '24 McCombs '24 Mendoza Tepper '24 Ross '24 Cox Marshall '24 Fisher Kelley '24 Jones McDonough '24 Owen '24 Terry BU Simon '24 Katz GWU Mason Babson Gabelli Foster '24 Goizueta '24 Scheller Stern '23 CBS '23 Booth '23 Haas '25 Wharton '25 Stanford '26 Johnson'23 Fuqua '23 Kellogg '23 Kenan-Flagler'23 INSEAD Aug 22 intake Olin '23 Said '23 Sloan '23 Carey Arizona "22 Yale '23 UC Davis Madison '23 Anderson '23 Carroll Carlson '23 Darden '23
Posts: 2,509
Kudos: 2,245
In the xy-plane, does the point (a, b) fall on line y=2x-3? 10 Sep 2020, 09:42
Kudos
Add Kudos
Bookmarks
Bookmark this Post
IanStewart
A point (a, b) is on a line if the point satisfies the equation of the line. So the point (a, b) is on the line y = 2x - 3 if it is true that b = 2a - 3. Statement 1 tells us exactly that (if we rearrange it), while Statement 2 does not, so A is the answer.
Thanks for the response. kudos for you.
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 35,812
Own Kudos:
929
Posts: 35,812
Kudos: 929
In the xy-plane, does the point (a, b) fall on line y=2x-3? 05 Jul 2022, 03:09
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Moderator:
Bunuel
Math Expert
97874 posts