The crystallography, phase relationships, and physical properties of the Yb5SixGe4-x alloys with 0 <= x <= 4 have been examined by using single crystal and powder x-ray diffraction at room temperature, and dc magnetization and heat capacity measurements between 1.8 K and 400 K in magnetic fields ranging from 0 and 7 T. Unlike the majority of R5SixGe4-x systems studied to date, where R is the rare earth metal, all Yb-based germanide-silicides with the 5:4 stoichiometry crystallize in the same Gd5Si4-type structure. The magnetic properties of Yb5SixGe4-x materials are nearly composition independent, reflecting the persistence of the same crystal structure over the whole range of x from 0 to 4. Both the crystallographic and magnetic property data indicate that Yb5SixGe4-x alloys are heterogeneous mixed valence systems, in which the majority (60%) of Yb atoms is divalent, while the minority (40%) is trivalent.