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Supersymmetric t-J Gaudin models with both periodic and open boundaryconditions are constructed and diagonalized by means of the algebraic Betheansatz method. Off-shell Bethe ansatz equations of the Gaudin systems arederived, and used to construct and solve the KZ equations associated with$sl(2|1)^{(1)}$ superalgebra.Comment: LaTex 21 page

Supersymmetrict JGaudin models and KZ equations