New alternator, New battery, Car Won't start?

I have 1997 Toyota Corolla that hasn't been starting. I replaced the battery and had the cables tightened and it ran for a few days and then it died again. So I replaced the alternator, and it worked for a few days and then stopped working again. If I get a jump the car will work for a few days, but it always won't start within the week.
 
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