Delete a single record from Entity Framework?

It's not necessary to query the object first, you can attach it to the context by its id. Like this:

var employer = new Employ { Id = 1 };
ctx.Employ.Attach(employer);
ctx.Employ.Remove(employer);
ctx.SaveChanges();

Alternatively, you can set the attached entry's state to deleted :

var employer = new Employ { Id = 1 };
ctx.Entry(employer).State = EntityState.Deleted;
ctx.SaveChanges();

You can use SingleOrDefault to get a single object matching your criteria, and then pass that to the Remove method of your EF table.

var itemToRemove = Context.Employ.SingleOrDefault(x => x.id == 1); //returns a single item.

if (itemToRemove != null) {
    Context.Employ.Remove(itemToRemove);
    Context.SaveChanges();
}

  var stud = (from s1 in entities.Students
            where s1.ID== student.ID
            select s1).SingleOrDefault();

  //Delete it from memory
  entities.DeleteObject(stud);
  //Save to database
  entities.SaveChanges();

Employer employer = context.Employers.First(x => x.EmployerId == 1);

context.Customers.DeleteObject(employer);
context.SaveChanges();