@pkblaquera Lindsay @psalm151ls has done an excellent job of explaining Christ’s shed blood and suffering. Just to tack onto what she and the weblinks have said, it was necessary for blood to be shed in order for us to have a covering for our sin. Gen.3:21 was the first foreshadowing of the need for blood to be shed because Adam and Eve’s attempt to cover themselves was insufficient. Until that time, no animal had been killed. So, when God slayed an animal (my suspicion is that it was a lamb) He shed that blood in order to make a more adequate covering of their sin. Even that was only a temporary measure.
As was mentioned by Lindsay, the life is in the blood. So, it was one’s life for the sake of another’s. We deserved to be the ones who shed our own blood and to suffer for what we did in destroying Creation and the communion that we had with the Creator God. But, God loved us too much too allow that. Nor were we holy anymore because of sin. God cannot look on anything unholy, so it took a perfect, holy Christ to suffer in our place. Even then, God could not look at Jesus on the cross because He took on our unholiness. Christ felt that separation passionately.
When Hebrews 5:8 says that Jesus “learned obedience”, a little word study of “obedience” via biblehub.com revealed that obedience is also equated with “submission” , “or hearing what was spoken”. Another way to look at Christ’s suffering and obedience is that Jesus, who was equal with God, (Phil. 2:6) but gave up that equality for our sake, further learned what it meant to submit to His Father’s voice by suffering on the cross.
Then, in verse 9, we see that to those who “obey” Christ, He has become the author, or originator of our salvation. So, Christ learned obedience by what He suffered in order to set the example for us to follow Him through the same obedience, or coming under His authority. By so doing, He becomes the source of our salvation and we further submit to Him, the Head of the Church.