Question: why solve gives empty solution

Dear All,

I ran into a problem, which I can not resolve. 

> Eqs := [x*0 = y*0]; Vars := [x, y];
[0 = 0]
[x, y]
> solution := solve(Eqs, Vars);
[[x = x, y = y]]
> Eqs := [x*b = y*b, b = 0]; Vars := [x, y];
[x b = y b, b = 0]
[x, y]
> solution := solve(Eqs, Vars);
[]

 Why the second solution is not the same as the first solution?

BR,

Zoltán Faigl

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