I've been trying to come up with a way to resolve the problem, to show that Jesus was truly tempted, but couldn't sin.
So I'm going to brainstorm here and ask you to pick this apart
There is no doubt that Jesus was tempted by Satan. We have the gospel account and Hebrews says so as well.
Remember, Jesus had been 40 days without food. He was starving, and very well could have humanly been near death. The desire for food must have been raging. He was probably in pain and distress, was physically vulnerable at that point. I can certainly testify that had I been in those circumstances the offer of food would have been a huge temptation to my flesh. Hebrews 4:15 says Jesus was tempted just like we are. So the temptation was real to his flesh. And the apparent purpose was so that Jesus would know what it's like for us humans.
Now, let us consider the nature and attributes of God. Among them are holiness and immutability. Jesus was sinless up to the Temptation, because it was his nature to be holy. We already know that God does not change, so had he sinned, there went another one of his attributes.
I believe that God--Jesus in this case--does not act contrary to his nature. The language seems to be inadequate here, because I don't want to imply that there are things God cannot do. Jesus did not sin because it is not his nature to sin. Whether he can or cannot is academic. He simply does not.
So, you answer, it's not academic. But we're trying to find an answer that may be impossible to discover this side of heaven. Of the three possibilities--Jesus could have sinned but chose not to; Jesus couldn't have sinned; or Jesus did not because it would have been contrary to his nature--the latter makes the most sense to me.
And it does not force us to speculate or stretch scripture to fit.