Are we saved by grace or through striving in our own deeds?

Grace, it is only when we put our faith and trust in Jesus Christ and what he did on our behalf that we can be saved from our sins.

For it is by grace you have been saved, through faith--and this not from yourselves, it is the gift of God. Ephesians 2:8-9

For God so loved the world, that he gave his only begotten Son, that whosoever believeth in him should not perish, but have everlasting life. John 3:16

Jesus answered, "I am the way and the truth and the life. No one comes to the Father except through me. John 14:6

But because of his great love for us, God, who is rich in mercy, made us alive with Christ even when we were dead in transgressions--it is by grace you have been saved. And God raised us up with Christ and seated us with him in the heavenly realms in Christ Jesus, in order that in the coming ages he might show the incomparable riches of his grace, expressed in his kindness to us in Christ Jesus. For it is by grace you have been saved, through faith--and this not from yourselves, it is the gift of God-- not by works, so that no one can boast. Ephesians 2:4-9.

All a man's ways seem right to him, but the LORD weighs the heart. Proverbs 21:2.

What if God, choosing to show his wrath and make his power known, bore with great patience the objects of his wrath--prepared for destruction? What if he did this to make the riches of his glory known to the objects of his mercy, whom he prepared in advance for glory. Romans 9:22-23

And for this we labor and strive, that we have put our hope in the living God, who is the Savior of all men, and especially of those who believe. 1 Timothy 4:10

But if we walk in the light, as he is in the light, we have fellowship with one another, and the blood of Jesus, his Son, purifies us from all sin. If we claim to be without sin, we deceive ourselves and the truth is not in us. If we confess our sins, he is faithful and just and will forgive us our sins and purify us from all unrighteousness. 1 John 1:7-9

For the Son of Man came to seek and to save what was lost." Luke 19:10

For the wages of sin is death, but the gift of God is eternal life in Christ Jesus our LORD. Romans 6:23

Therefore, brothers, since we have confidence to enter the Most Holy Place by the blood of Jesus, by a new and living way opened for us through the curtain, that is, his body, and since we have a great priest over the house of God, let us draw near to God with a sincere heart in full assurance of faith, having our hearts sprinkled to cleanse us from a guilty conscience and having our bodies washed with pure water. Hebrews 10:19-22

For I know the plans I have for you," declares the LORD, "plans to prosper you and not to harm you, plans to give you hope and a future. Jeremiah 29:11.