You can't heat your house in winter with wind + solar. For a carbon-free world, you need nuclear, period.
In this paper the authors model renewables in Artic isolated settlements. It's only a model but looks promising.
Edit : apparently the answer to this question is "downvote" :)
That's an illusory number. Wind requires backup power, or lots of storage. Wind turbines have a ~20 year lifespan, compared with ~60 years for coal/nuclear plants. Once the safety and economies of mass-produced Gen IV SMRs are accounted for, nuclear is MUCH cheaper than wind.
What would be really bad would be the first time thousands of people die when the wind/solar powered grid goes down during a cold snap.
I know someone who actually did heat their home through some pretty brutal winters using just solar heat.. and a pretty simple setup he jury-rigged himself, at that.
So it can be done.
There are also energy storage technologies like ordinary batteries to more exotic technology like molten salt storage for energy generated by solar panels.