Question: How to express x and y in terms of a,b,c,d?

solve([a = -(-y+1)/(x-y+2), b = -(-x^2+2*x*y-y^2-3*x+3*y-2)/(x-2*y+3), c = -(x*y-y^2-2*x+4*y-4)/(x*y-y^2-x+2*y-1), d = -(-x*y+y^2+x-2*y+1)/(x-2*y+3)], [x,y]);

i do not know whether multiple solutions lead no solutions in this.

if so, is it possible to show all possible solutions of x and y in terms of a,b,c,d ?

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