How to solve equation by linearisation - Picard/Newton Raphson?

Hi,

I want to solve this equation

1/(1/b + x*(1/a - 1/b)) - 1/(10/b + y*(10/a - 10/b)) = 0

where a and b are constants.

My question is on how can I write this in matrix form and solve over iterations.

I want to write it as [ ] [ x; y] = [ ]

May be linearisation / NR/Picard etc. might help but I am clueless how to proceed.

Could you please help?

[Torsten]

I'm clueless why you want to write the equation as

[ ] [ x; y] = [ ]

Can you give a plausible reason ?

And what do you mean by "solve" ? You have one equation in two unknowns. So solving in the usual sense would mean: writing x as a function of y (or vice versa).