Is it possible for a business to be solvent but not profitable?

A business can be solvent and not profitable. You can pay all the debts that needed to be paid off and not gain profit.. But, where and what are the solvent businesses? I think it's possible but which company is? But anyways, every company doesn't need to be profitable. Profit gets you more money for more supplies and such. Where it's solvent, the business is handled and still operating. WOO.