What does Hebrews 7:19 mean?
A major point made in the New Testament is that the law of Moses was never meant to be our final, ultimate means of salvation (Acts 13:39). Rather, the law was meant to teach us (Romans 2:18), and to convict us (James 2:9), and to point the way towards God's perfect promise, in Jesus Christ (Galatians 3:19—4:7). This passage is meant to explain how the priesthood of Jesus—in the order of Melchizedek—is superior to that of the Old Testament Levitical priesthood. The overall context of the book of Hebrews is for persecuted Christians to hold fast to their faith in Christ, rather than falling back into an imperfect and incomplete Judaism (Hebrews 6:18).The limitations of that former covenant will be explained in the next few verses. Primarily, the priests are commissioned by ancestry (Numbers 3:5–10), they have limited lifespans (Hebrews 7:23), and they themselves are sinful (Hebrews 7:27). This arrangement could never completely save mankind. Christ, on the other hand, is able to offer not only a perfect and complete sacrifice (Hebrews 9:12), but can serve eternally as our priest. In that way, Jesus can save "to the uttermost" where human efforts will always fall short (Hebrews 7:25).