Thread: Transposition problem

Hello everyone.

I have just started a new college course which involves an analyticalmethods module. We have just started transposition and have been given thefollowing:

F=uv/u+v

Transpose to find v

I have racked by brain for a bit and came up with..

v=f/u-u

Is this right? not sure if I have it right, can anyone help out?

Thanks in advance.

It would be more clear if you used brackets.
Is it:
or
?

Originally Posted by wysiwyg

Hello everyone.

I have just started a new college course which involves an analyticalmethods module. We have just started transposition and have been given thefollowing:

F=uv/u+v

I assume you mean F= uv/(u+v), not F= (uv/u)+ v since the latter would be just 2v.

Transpose to find v

I have racked by brain for a bit and came up with..

v=f/u-u

Is this right? not sure if I have it right, can anyone help out?

Thanks in advance.

No, that is not correct. If you multiply both sides by u+ v, you get F(u+ v)= uF+ vF= uv.
Then uF= uv- vF= v(u- F). Can you finish it?

Originally Posted by Siron

It would be more clear if you used brackets.
Is it:
or
?

Apologies, I should have used brackets.

Its the first one...

No problem.
HallsofIvy has given you a hint. Can you continue? ...

Thanks guys, just trying to work through it now...

Bit confused with the two sets of equal signs tho i.e F(u+ v)= uF+ vF= uv

Unless I am reading it wrong...

If we start with:

Step 1: Multiply both sides with (like HallsofIvy said):

Step 2: Work the brackets out:


Is this clear? ...

Originally Posted by Siron

If we start with:

Step 1: Multiply both sides with (like HallsofIvy said):

Step 2: Work the brackets out:


Is this clear? ...

Yes it is, thank you...

Is it: v=Fu/(u-F) ?

Correct!

Thank you for your help (Siron/HallsofIvy), much appreciated.

You're welcome!