How do you find the cartesian equation of
x = t/(1+t) and y=t(1-t)?

I have been trying addition, subtraction, squaring, and multiplying and nothing seems to be worked.

A worked solution if you can solve it would be much appreciated

Reply 6

123456123456

Original post by brainmaster

how about squaring them then adding?

I have had a go myself doing this and not getting there. If you have done it this way and it worked, would you mind posting a worked solution?
Thank you - been stuck on this for ages now

Reply 7

123456123456

How do you find the cartesian equation of
x = t/(1+t) and y=t/(1-t)?

I have been trying lots of different methods and nothing seems to be working. A worked solution would be much appreciated if you can solve it. Thank you.

Reply 8

Shaanv

Original post by 123456123456

Get t in terms of x.

Sub into ur equation for y.

Reply 9

123456123456

Just realised the question should be

x = t/(1+t) and y=t/(1-t)?

I missed off the divide from the y=

Still stuck with this question if you can help

Reply 10

Notnek

Original post by 123456123456

I have tried multiplying them, subtracting them and adding them but nothing working so far - can you help?

Just checking : did you post the question correctly? It's not y=t/(1-t) is it?

Reply 11

123456123456

Original post by Notnek

Just checking : did you post the question correctly? It's not y=t/(1-t) is it?

Yes just realised that I had made this mistake - i have editted now. Can you solve it and post a worked solution?

Reply 12

Notnek

Original post by 123456123456

Yes just realised that I had made this mistake - i have editted now. Can you solve it and post a worked solution?

There are different ways to do this. Try considering the reciprocals of the fractions i.e. 1/x and 1/y. Post your working if you get stuck.

Reply 13

thekidwhogames

Find t as a function of x and then substitute into your y

Reply 14

123456123456

Original post by Notnek

There are different ways to do this. Try considering the reciprocals of the fractions i.e. 1/x and 1/y. Post your working if you get stuck.

Thanks so much have solved it now

Reply 15

Notnek

Original post by 123456123456

Thanks so much have solved it now

Also, a standard method that works a lot of the time (and others mentioned it above) is to make t the subject and then sub it in to the other equation. I recommend trying this method here so you get practice.