SOLUTION: plz help me in solving this questions. Eliminate 't' from the following equations. Q 1) y=2t/b(1-t.t) ; x/a=(1+t.t)/1-t.t

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: plz help me in solving this questions. Eliminate 't' from the following equations. Q 1) y=2t/b(1-t.t) ; x/a=(1+t.t)/1-t.t      Log On


   

Question 3702: plz help me in solving this questions.
Eliminate 't' from the following equations.
Q 1) y=2t/b(1-t.t) ; x/a=(1+t.t)/1-t.t
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
i cannot eliminate t from these, but i can get t=, so then you can put this back into your equations...

yb+=+%282t%29%2F%281-t%5E2%29
yb+=+%28t%5E2%2B2t%2B1-t%5E2-1%29%2F%281-t%5E2%29 by adding in enough to be able to factorise. Make sure you accept that this line is the same as the previous one.

yb+=+%28%28t%2B1%29%5E2+-+t%5E2+-+1%29%2F%281-t%5E2%29
yb+=+%28%28t%2B1%29%5E2+-+t%5E2+-+1%29%2F%28%281-t%29%281%2Bt%29%29
yb+=+%28%28t%2B1%29+-+t%5E2+-+1%29%2F%281-t%29
yb+=+%28t+-+t%5E2%29%2F%281-t%29
yb+=+%28t%281-t%29%29%2F%281-t%29

Now for the other one:

x%2Fa+=+%281%2Bt%5E2%29%2F%281-t%5E2%29
x%2Fa+=+%281%2Bt%5E2%2B2t-2t%29%2F%281-t%5E2%29 -- again make sure that you accept that this line is the same as the previous one. Now we can factorise the top and bottom:

x%2Fa+=+%28%281%2Bt%29%5E2-2t%29%2F%28%281-t%29%281%2Bt%29%29
x%2Fa+=+%28%281%2Bt%29-2t%29%2F%281-t%29
x%2Fa+=+%281-t%29%2F%281-t%29

Sub this into the first one, to give yb+=+%28tx%29%2F%28a%29, so t+=+%28aby%29%2Fx

As for now? who knows :-)...put this into the 2 originals and you have no t.


jon.