Registrations under the above section shall be made in the manner provided by sections 5-7 and 5-9, but electors whose registrations are marked “Incomplete” may make the applications provided by section 5-9 only on Monday and Tuesday of the third week prior to the week in which the election for officers, for which they are permitted to vote, is to be held. The subsequent procedure with reference to said cards shall be the same as that provided for voters registering under section 5-19 except that the election referred to shall be the election at which the applicant would be permitted to vote if otherwise qualified.