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.
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:
What do András from Hungary, Pablo from Mexico, Conner from the United States, Giorgio from Italy, Leo from Germany, and Rishab from India have in common? They all earned top scores on the GMAT Focus Edition using the Target Test Prep course!
Grab 20% off any Target Test Prep GMAT Focus plan during our Flash Sale. Just enter the coupon code FLASH20 at checkout to save up to $320. The offer ends on Tuesday, April 30.
After just 3 months of studying with the TTP GMAT Focus course, Conner scored an incredible 755 (Q89/V90/DI83) on the GMAT Focus. In this live interview, he shares how he achieved his outstanding 755 (100%) GMAT Focus score on test day.
In this conversation with Ankit Mehra, IESE MBA and CEO & Co-Founder, of GyanDhan, we will discuss how prospective MBA students can finance their MBA education with education loans and scholarships.
What do András from Hungary, Conner from the United States, Giorgio from Italy, Leo from Germany, and Saahil from India have in common? They all earned top scores on the GMAT Focus Edition using the Target Test Prep course!
Still interested in this question? Check out the "Best Topics" block below for a better discussion on this exact question, as well as several more related questions.
In Question(1) the only possible answers can be 1) infinite many solutions 2) no solution 3) one solution combining two equations we get only one answer as infinite many solutions Therefore C
(1) 4x + 6y = 20 (2) 6x + 9y = 50 ;; 3/2(4x + 6y) =6x+ 9y In question(2) we need to solve for x and after solving the equations statement 1 gives infinite values statement 2 gives infinite values combined : we get no values of x as lines are parallel
Re: How many solution set exist for the following set of equatio
[#permalink]
13 Jan 2014, 22:53
Expert Reply
amitasagar23 wrote:
Hi,
I am pasting two similar looking questions in this post however the answers seem to be very different for both
Please explain the solution for both and is there an easy technique to handle such questions? How are both questions different from each other?
Question 1:
How many solution set exist for the following set of equations ?
(1) 4x + 6y = 20 (2) 6x + 9y = 30
Ans provided in the book is: C
Question 2:
What is the value of x ? (1) 4x + 6y = 20 (2) 6x + 9y = 50
Ans provided in the book is E
Many thanks,
Amita
These questions are not appropriate GMAT questions.
In question 1, using both statements, we get that x and y can take infinite values (which is what we infer from each statement alone too). Both the statements actually represent the same line. (1) 2x + 3y = 10 (2) 2x + 3y = 10 When the question asks for number of solution sets, it is looking for a unique defined answer. The answer you get is 'infinite' which is not defined.
In question 2, statements 1 and 2 conflict with each other. (1) 2x + 3y = 10 (2) 2x + 3y = 50/3 These two equations represent two parallel lines. There is no common x. So what is the value of x is not a valid question.
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
gmatclubot
Re: How many solution set exist for the following set of equatio [#permalink]