Salvation by faith alone is not at all impossible to believe. We have been doing it for years now.
Consider, for example, taking in medication to heal our diseases. There are diseases in which we can't do anything on our own to make it go away.
So we go to the doctor get a prescription from him and religiously take it for ourselves. We don't do anything to help the medication. We don't add anything to it. We just simply allow it to take its course and heal us.
After some time, we ourselves experience its benefits and come out of the experience healed. We experience salvation from the disease just by relying alone on the medication.
As a result of it, we experienced a changed life---we can function well and do things that we normally do.
As a result of it, we experienced a changed life---we can function well and do things that we normally do.
It is exactly the same with salvation. We are powerless to save ourselves. We have a spiritual disease and there is nothing we can do. But praise God He sent us the medicine in the person of the Savior.
All one has to do is to rely on Him and what He did on the cross to be saved. As a result, a saved sinner experiences a changed life. He can now function well for God, glorifying Him.
Joh 3:16 "For God so loved the world that He gave His only begotten Son, that whoever believes/trusts in Him should not perish but have everlasting life.
Ac 16:30 And he brought them out and said, "Sirs, what must I do to be saved?"
31 So they said, "Believe/trust on the Lord Jesus Christ, and you will be saved...