Stuck

[TonyMorgan]

if
X = x*T/2-y*T/2
and
Y = x*T/2-y*T/2-O*x+O*y

is it possible write x purely in terms of X, Y, T and O and y purely in terms of X, Y, T and O?

It feels like it should be possible.. but I'm having no luck.

Any help would be greatly appreciated

 

[TonyMorgan]

I am presuming that X and x are different pronumerals as are Y and y.

\(\displaystyle X= Tx - \dfrac{Ty}{2} \implies Tx = X + \dfrac{Ty}{2} = \dfrac{2X + Ty}{2} \implies x = \dfrac{2X + Ty}{2T}.\)

Now substitute for x in the second equation and solve for y. Btw, it might help if you used grouping symbols in the second equation.

Thanks for the response. Whilst I have noticed you've made a slight mistake I recognise the tactic as being sound.

However, I have as yet been able to make the second substitution stick so if anyone can show me the full working I would be really grateful.

Cheers

 

[mmm4444bot]

I have … been able to make the second substitution

if anyone can show me the full working I would be really grateful

In general, we do things the other way around here. Please show us what you have tried.

Cheers :cool:

PS: Here's a link to our Forum Guidelines.

 

[mmm4444bot]

X = x*T/2-y*T/2

\(\displaystyle X= Tx - \dfrac{Ty}{2}\)

Maybe the OP is talking about the missed factor 1/2 on term Tx, in your first reply.