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probably, it depends on which set of numbers are the a,b,x,y elements of.
in idea of lienear with real numbers, we could put it as one equation with 4 unknow variables,so we do have an infinte amount of solutions that the a,b,x and y may take.
if we had a 4 setof equations and 4 variables, then we could find an finite number of values that a,b,x and y may take.
not sure if this helps you.