Why is Christ's crucifixion critical to salvation?

Christ's crucifixion is central to salvation as it satisfied God's justice by bearing the punishment for sin. Scripture teaches that the wages of sin is death (Romans 6:23), and Christ, as our sin-bearer, took upon Himself the penalty of sin on the cross. 2 Corinthians 5:21 confirms that 'He who knew no sin became sin for us,' which means He bore our guilt. Through His death, He not only paid the debt but also established a new covenant through His blood, ensuring that those who trust in Him are cleansed from sin and granted eternal life.