Deleting on laravel via confirmation message modal?

I want to delete something via jquery using my url on routes, I have this but ain't working dunno why

routes.php

Route::delete('/administrar/invitacion/{id}', 'invitacionController@eliminarInvitacion');

on my administrar.blade.php I have a select where i retrieve the id and this modal with two buttons

<!-- Modal borrar -->
                                                <div class="modal fade" id="borrar" role="dialog">
                                                    <div class="modal-dialog">
                                                        <!-- Modal content-->
                                                        <div class="modal-content">
                                                            <div class="modal-header">
                                                                <button type="button" class="close" data-dismiss="modal">&times;</button>
                                                                <h4 class="modal-title">Borrar invitación</h4>
                                                            </div>
                                                            <div class="modal-body">
                                                                <p>¿Estás seguro que quieres cancelar esta invitación?</p>
                                                            </div>
                                                            <div class="modal-footer">
                                                                <button type="button" id="delete_invite" class="btn btn-warning" data-dismiss="modal">Si</button>
                                                                <button type="button" class="btn btn-default" data-dismiss="modal">No</button>
                                                            </div>
                                                        </div>
                                                    </div>
                                                </div>

invitacionController.php

public function eliminarInvitacion(Request $request, Invite $invite)
    {
        $this->authorize('destroy', $invite);

        $invite->delete();

        return redirect('/administrar');
    }

on my js:

  $('#borrar').on('click', '#delete_invite', function(e) {

        $id = $( "#selectinv option:selected" ).val();
        $.ajax({url: "/administrar/invitacion/"+$id, type: 'DELETE', success: function(result){


        }});
    })