Mathematics means abstraction. And that's why many mathematicians prefer to use letters instead of numbers.

In this puzzle of the week is also calculated with numbers. But in a different way than usual. In the so-called cryptogram above each of the three letters x, y and z stands for a digit greater than zero. For example, xx forms a two-digit number in which the digit x occurs twice.

You should find all the solutions of the cryptogram shown above. Is there a solution or several? Or maybe none?