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.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

In the xy-plane, region R consists of all the points (x.y) such that 2x + 3y = 6. Is the point (r,s) in region R?

(1) 3r + 2s = 6

(2) r=3 and s=2

why not B?

2x + 3y = 6 ==> y = -2/3x + 2 (I'm assuming that this is region R)
given statement (1) r and s can be 0,3 or 2,0 (respectively) or some other combination of whole and/or fractional #s.

once we graph y = -2/3x + 2 won't that tell us whether r=3 and s=2?

I feel the second statement r=3 and s=2 gives us the equations of two separate lines viz. r=3 and s=2. Had it been a point they would have reffered as (3,2)

Lets solve this
we have very first equation 2x+3y=6 which defines the region R

then the first statement 3r+2s=6. This line and the line mentioned above has a point of intersection. only this equation does not tell us whether (r,s) is in region R or not

Second statement is r=3 and s=2. These are the equations of lines parallel to x and y axis resp. Each of this line has a different pts of intersection with the original line. Hence second statement is also not sufficient to tell us whether the point is in region R

Both statements together : Draw all these 4 lines on graph. The region defined by 3r+2s=6, r=3 and s=2 may or may not be in the original region R. Hence both statements together are not sufficient. Option E

I feel the second statement r=3 and s=2 gives us the equations of two separate lines viz. r=3 and s=2. Had it been a point they would have reffered as (3,2)

Lets solve this we have very first equation 2x+3y=6 which defines the region R

then the first statement 3r+2s=6. This line and the line mentioned above has a point of intersection. only this equation does not tell us whether (r,s) is in region R or not

Second statement is r=3 and s=2. These are the equations of lines parallel to x and y axis resp. Each of this line has a different pts of intersection with the original line. Hence second statement is also not sufficient to tell us whether the point is in region R

Both statements together : Draw all these 4 lines on graph. The region defined by 3r+2s=6, r=3 and s=2 may or may not be in the original region R. Hence both statements together are not sufficient. Option E

Yeah but when statement 2 says that r=3 and s=2, that means we're looking at the POINT (3,2), not lines x=3 and y=2...