This paper deals with the design of coding schemes for transmitting a source over a broadcast channel when there is source side information at the receivers. Using ideas from Slepian-Wolf coding over broadcast channels, a new scheme is presented and its distortion performance is derived for binary symmetric and Gaussian source-channel pairs. For Gaussian sources and channels with no bandwidth compression or expansion, this scheme can be extended to a hybrid digital/analog scheme three different ways. All three transmit the same digital and analog information but with varying coding order. Although the derived schemes are not provably optimal in general, they can significantly outperform uncoded transmission and separate source and channel coding.