At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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which signs?

- - = +
+ + = +
+ - = -
- + = -

notice that the signs are apposite. if x has the positive then y has the negative, and vice versa.

Thank, really useful! Just to be clear, the first one is ax+by=c and the second is ax-by=c, right?

By the way, whats the d for?

d=gcd(a,b)
you have two possibilities regarding the sign. i wrote both possibilities.