Righteousness is given only through faith in Jesus Christ,we are redeemed by Christ through the shedding of his blood, this righteousness can only be ascertained by faith in the blood (Romans 3vs21)
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Salvation doesn't come from from good deeds , works of the law or any other means, salvation comes from faith in Christ and his blood. Likewise salvation doesn't discriminate irrespective of who you are, Having faith in the blood of Jesus Christ, salvation doesn't cancel the law nor does it prevents us from obeying the law, rather it helps us obey the law easier because our faith in Christ makes it easier to obey the law (Romans 3vs27-29)
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Salvation is free and it's not earned through any means, rather it's a gift from God. It doesn't require any form of work nor good deeds. It only makes a sinner good in the sight of God only through faith in Christ(Romans 4vs1-5).