$$ 100\left(y + \frac{100}{10-y}\right) = x + 1000 $$
I'm looking to have the equation in the form $y(x) = ...$ Seems pretty simple, but I'm just not seeing it.
The answer is:
$$ y(x) = \frac{1}{200}\sqrt{x^2 + 4000x} − x $$
Wolfram|Alpha returns a slightly different answer: $$ y(x) = \frac{1}{200} (\sqrt{x^2+4000000}+x+2000) $$
There must be something I'm missing. Thoughts?