It doesn't to my knowledge tell YOU how to be saved, it presents salvation is given by God through covenant, beginning with the Abrahamic Covenant which is given to Abram the Hebrew (Genesis 14:13) and his Hebrew seed. The Mosaic Covenant builds upon the Abraham Covenant with the giving of God's Law to the children of Israel thus officially making Israel a political nation now that they have a government with Laws that guide the population in its treatment one should have for oneself, how to treat others in this covenant, and how to treat others who are not in this covenant, such as non-Hebrew Gentiles. The Mosaic Covenant is fulfillment of a promise made by God to Abraham that his covenant promises were extended to his Hebrew seed and in the Mosaic Covenant God instructed and commanded instruction and command to the children of Israel of a spiritual or religious nature, including the substitutionary sacrifice of certain animals whose purpose was the temporary atonement from sin and its penalty which was death - physical, spiritual, and eternal separation from God. Contained in this Mosaic covenant were promises/prophecies from God to Israel to send a Deliverer who would destroy Israel's enemies including the great enemy which was death (physical, spiritual, eternal.) The Old Covenant doesn't tell "you" how to be saved directly, but it does tell "you" who was to be saved eternally, and that was targeted to those who were under the La w, meaning the children of Israel through covenant which was a foundation covenant and part one of a three-part plan for the salvation of the Hebrew people who were under the scope of the Mosaic Covenant Law and promises. This included a third part in the plan of God to save the Hebrew people with a promise of a New Covenant which included the ten northern kingdom tribes called the House of Israel, and two southern kingdom tribes called the House of Judah equaling twelve tribes in total. The mechanism for their salvation is tied to the Mosaic Covenant in some respects including the religious sacrifice of God's own Son, Yeshua bar Yosef, who died under the Law to atone the sins of the people under the Law, that is, the children of Israel. The New Covenant prophesied by Jeremiah and fulfilled personally by God's own Son in human flesh is only the Mosaic Covenant fulfilled by Jesus Christ.
The Old Covenant "told" you how to be saved and that was by being part of the covenants that preceded it, the Abraham and Mosaic Covenants. The verse that describes what God did is written by Saul to Jews and Jewish Christians living in the Galatian Region:
1 Now I say, That the heir, as long as he is a child, differeth nothing from a servant, though he be lord of all;
2 But is under tutors and governors until the time appointed of the father.
3 Even so we, when we were children, were in bondage under the elements of the world:
4 But when the fulness of the time was come, God sent forth his Son, made of a woman, made under the law,
5 To redeem them that were under the law, that we might receive the adoption of sons.
6 And because ye are sons, God hath sent forth the Spirit of his Son into your hearts, crying, Abba, Father.
7 Wherefore thou art no more a servant, but a son; and if a son, then an heir of God through Christ.
Galatians 4:1–7.
There was a process. It began with Abraham and ended with Jesus. Saul further clarifies salvation in this manner by identifying its parts in order to understand the whole:
1 I say the truth in Christ, I lie not, my conscience also bearing me witness in the Holy Ghost,
2 That I have great heaviness and continual sorrow in my heart.
3 For I could wish that myself were eaccursed from Christ for my brethren, my kinsmen according to the flesh:
4 Who are Israelites;
to whom pertaineth
the adoption,
and the glory,
and the covenants,
and the giving of the law,
and the service of God,
and the promises;
5 Whose are the fathers,
and of whom as concerning the flesh
Christ came,
who is over all, God blessed for ever.
Amen.
Romans 9:1–5.
The "HOW" is in verse 4.
The "WHO" is "the Israelites."
From Abraham the promises God made passed down through the generations on through the centuries until we come to Jesus. He is the subject of Israel's salvation, and the mechanism is the Mosaic Law, specifically the Ceremonial Laws guiding the temporary atonement until a permanent atonement could be accomplished through the sacrifice of God's own Son, the Lord Jesus Christ.
Answering "how" is more complicated since God's plan for the salvation and redemption of the Hebrew people spanned centuries, each section at its predetermined appointed time.
