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Hi! I have five questions:

 

1. For how many ordered pairs of positive integers (x,y) does the equation 1/x + 2/y = 1/3 hold?

 

Excessive questions deleted - Melody.

 

Thanks so much everyone!!

 Jan 23, 2020
edited by Melody  Jan 24, 2020
 #1
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You want us to do all your homework for you?

 Jan 24, 2020
 #2
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No!! I had 10 questions and these are the ones I've been struggling with. I've actually gone for help to my teachers multiple times so I came here for help. I'm sorry if I came across like that.

genevieve.cowl  Jan 24, 2020
 #4
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+3

Hey Melody. 

I just saw this post and I would like to say genevieve.cowl may be lying. This problem appears on the AOPS (Art of Problem Solving) Homework Algebra 2 Course. I am currently taking this at the moment and this priblem is #1 of this week's homework. The homework is done online, if genevieve.cowl needs help with this, they have multiple options. They can press "Give Up", they can ask for help THROUGH THE WEBSITE GIVEN FORUM FOR DISCUSSING HOMEWORK PROBLEMS. OR THEY CAN CONTACT THEIR COURSE INSTRUCTOR WHO WILL 100% OF THE TIME HELP WITH  THE PROBLEM.

 

THERE IS NO WAY THEY ASKED THEIR INSTRUCTOR FOR HELP AND STILL COULD NOT FIGURE IT OUT. 

 

Also, they can look at the TEXTBOOK which is PROVIDED WITH THE COURSE. The textbook has SIMILAR PROBLEMS AND SHOWS HOW TO SOLVE THEM.

 

Conclusion is that genevieve.cowl could not have possibly exhausted all these solutions and still not figure out the question. To anyone looking at this question: Do not solve it. genevieve.cowl is looking for a quick way to solve their AOPS homework. If you answer it, they will never learn.

doorknoob  Jan 25, 2020
 #3
avatar+107524 
+1

https://www.wolframalpha.com/input/?i=1%2Fx%2B2%2Fy%3D1%2F3+

 

Wolframalpha gives the answer but I would still like to see it done by hand.

I saw someone answer a very similar question recently. 

It might have been Heureka but i really do not know who it was.

 Jan 24, 2020
edited by Melody  Jan 24, 2020
edited by Melody  Jan 24, 2020

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