How do Christians follow after righteousness according to the Bible?

Following after righteousness involves a heart transformation where believers rely entirely on Christ as their righteousness rather than their own works. The Apostle Paul emphasizes this in Philippians 3:9, where he seeks to be found in Christ, 'not having mine own righteousness, which is of the law, but that which is through the faith of Christ.' This pursuit also includes actively engaging in good works, not to earn God's favor, but as an expression of gratitude for the grace already given through faith. Moreover, believers are encouraged to consistently seek Christ, engage with His Word, and fellowship with the body of Christ, which bolsters their focus on living righteously and brings glory to God.