What is the kettle made from? Stainless steel won't solder and neither will aluminium (Well, with specialist solder)
Welding thin sheet is a sure recipe for having holes burned into the metal.
For either welding or soldering the joint will need to be clean
If its a valuable item you might try someone with a TIG welder but do consider that a new kettle would only be around a tenner -or less if you are lucky:
http://www.hotukdeals.com/deals/1-7-litre-red-stainless-steel-kettle-reduced-2-80-instore-tesco-stockport-2671920
acp, April 2017