If this is LinqToSql then to delete rows you use DeleteOnSubmit or DeleteAllOnSubmit.
For example, if you want to delete all rows in xyz matching your criteria, you can do something like :
var query = (from z in xyz
where z.exch_ZipCode == "60069"
&& z.exch_zipcodeId.Value== new Guid("c6e88a07-b4a2-e211-b8d2-bc305befb465")
select z);
xyz.DeleteAllOnSumit(query);
SubmitChanges();