3:5 Upon the burnt sacrifice - Either, Upon the remainders of it, which were yet burning; or rather, After it; for the daily burnt - offering was first to be offered, both as more eminently respecting God's honour; and as the most solemn and stated sacrifice, which should take place of all occasional oblations, and as a sacrifice of an higher nature, being for atonement, without which no peace could be obtained, nor peace offering offered with acceptance.
3:1-5 The peace-offerings had regard to God as the giver of all good things. These were divided between the altar, the priest, and the owner. They were called peace-offering, because in them God and his people did, as it were, feast together, in token of friendship. The peace-offerings were offered by way of supplication. If a man were in pursuit of any mercy, he would add a peace-offering to his prayer for it. Christ is our Peace, our Peace-offering; for through him alone it is that we can obtain an answer of peace to our prayers. Or, the peace-offering was offered by way of thanksgiving for some mercy received. We must offer to God the sacrifice of praise continually, by Christ our Peace; and then this shall please the Lord better than an ox or bullock.