so basically i have to solve the problem
ax+by=c where a,b, and c are given and i have to find out x and y
any ideas or help are appreciateedd!!!!!!
Computer Science Canada Turing crazy hard math problem |
| Author: | punjabiace [ Wed Oct 08, 2008 6:42 pm ] |
| Post subject: | Turing crazy hard math problem |
so basically i have to solve the problem ax+by=c where a,b, and c are given and i have to find out x and y any ideas or help are appreciateedd!!!!!! |
|
| Author: | [Gandalf] [ Wed Oct 08, 2008 6:48 pm ] |
| Post subject: | RE:Turing crazy hard math problem |
ax+by=c is the equation of a line, right? So chances are, you're going to be finding multiple (x, y) pairs that satisfy the equation. Have you thought about how you would do this (without using Turing or a calculator) on paper? |
|
| Author: | Insectoid [ Wed Oct 08, 2008 7:01 pm ] |
| Post subject: | RE:Turing crazy hard math problem |
I would go about this by writing a program to isolate X or Y, then substitute the other half of the equation into the original. ex. X = ?????? A(????)+by=c Then isolate the remaining unknown and solve! |
|
| Author: | Tony [ Wed Oct 08, 2008 7:19 pm ] |
| Post subject: | RE:Turing crazy hard math problem |
I'm with Gandalf on this one -- it's a Math problem, not Turing. Figure it out on paper. |
|
| Author: | Insectoid [ Wed Oct 08, 2008 7:20 pm ] |
| Post subject: | RE:Turing crazy hard math problem |
It would be fun to write a program that re-arranges equations for you. |
|
| Author: | SNIPERDUDE [ Wed Oct 08, 2008 8:13 pm ] |
| Post subject: | RE:Turing crazy hard math problem |
Chances are if it is posted here and flexible enough to cover a variety of equations it would be abused. I've thought of making one of those (just for myself) to cover advanced functions and financial mathematics. Didn't end up doing it. |
|
| Author: | Brightguy [ Thu Oct 09, 2008 11:13 am ] |
| Post subject: | Re: Turing crazy hard math problem |
For real numbers it is simple to write x as a function of y. For integers, this is a classic problem which would be covered in an elementary number theory class. See "Extended Euclidean algorithm". insectoid: Isolating and substituting into the same equation won't help. |
|
| Author: | Insectoid [ Thu Oct 09, 2008 11:28 am ] |
| Post subject: | RE:Turing crazy hard math problem |
Well, It would mean the only remaining unknown is Y, which can be re-arranged so that y is isolated. I think...Maybe this requires 2 equations. |
|
| Author: | Brightguy [ Thu Oct 09, 2008 11:31 am ] |
| Post subject: | Re: RE:Turing crazy hard math problem |
insectoid @ Thu Oct 09, 2008 11:28 am wrote: Well, It would mean the only remaining unknown is Y, which can be re-arranged so that y is isolated. I think...Maybe this requires 2 equations.
Try it.  |
|
| Author: | S_Grimm [ Thu Oct 09, 2008 11:36 am ] |
| Post subject: | RE:Turing crazy hard math problem |
there is no "right" answer for this question. x,y COULD be anything. the points are on a line, so there would be an unlimited amount of answers, one for each point on this line. (ie) say x = 1, then solve. say x = 2 then solve. say x = 3 then solve. etc....etc....) |
|
| Author: | Clayton [ Thu Oct 09, 2008 11:36 am ] |
| Post subject: | RE:Turing crazy hard math problem |
0 = 0 
Seeing as there doesn't appear to be any restrictions, just isolate y, then give x any value, compute y, and output one of the possible ordered pairs that satisfies the relation. |
|
| Author: | S_Grimm [ Thu Oct 09, 2008 11:37 am ] |
| Post subject: | RE:Turing crazy hard math problem |
your fast. nice response |
|