Can you download songs onto your iphone without losing your other songs?

I have an iPhone 4S and I just bought a CD. My car is old and only plays cassettes. I want to download the songs from my CD onto my phone, but some of the music I have bought, is on another computer and that computer crashed. Is is it possible for me to plug my phone into the computer to download the CD without losing my other songs?

Dunnu!

No cuz you will loose your songs and plus since the computer crashed it probably lost all of it songs on it your gonna have to buy an itunes card (at walmart or any other card store) and buy new ones sorry

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