# A Weirdly Defined Function

Algebra Level pending

Let there be a function $$f(x)$$ such that $$f(x)+2f(a-x)=6x$$ for all real $$x$$ and some constant $$a$$. Then, $$f(10)$$ can be written in the form $$ax-y$$. Find the value of $$x+y$$.

×