Hebrews 8:7
For if that first covenant had been faultless, there would have been no occasion for a second one or an attempt to institute another one [the new covenant].
Hebrews 7:11
Now if perfection [a perfect fellowship between God and the worshiper] had been attained through the Levitical priesthood (for under it the people were given the Law) what further need was there for another and different kind of priest to arise, one in the manner of Melchizedek, rather than one appointed to the order of Aaron?
Hebrews 7:18
For, on the one hand, a former commandment is cancelled because of its weakness and uselessness [because of its inability to justify the sinner before God]
Galatians 3:21
Is the Law then contrary to the promises of God? Certainly not! For if a system of law had been given which could impart life, then righteousness (right standing with God) would actually have been based on law.
Hebrews 8:6
But as it is, Christ has acquired a [priestly] ministry which is more excellent [than the old Levitical priestly ministry], for He is the Mediator (Arbiter) of a better covenant [uniting God and man], which has been enacted and rests on better promises.