Would you expect that changing the solvent would change the Rf value obtained for a particular unknown? Why?

A piece of filter paper is spotted with a solution containing a mixture of two components, X and Y. The chemical affinity of X for the stationary phase is greater than that of Y, and the chemical affinity of X for the mobile phase is less than that for Y. Which substance will have the largest Rf value upon analysis of the developed chromatogram? Explain your answer.