expression
can't survive (without ...); can't live (without ...)
Expresses inability to go on living or to survive without something essential. Often used with a conditional or without-phrase.
水なしでは生きていかれない。
We can't survive without water.
あなたがいなければ、私は生きていかれない。
I can't live without you.
生きていかれない is the potential negative form of 生きていく, while 生きていけない is the negative potential form of 生きていく. Both mean 'cannot go on living', but 生きていかれない is slightly more formal or literary.
Negative potential form of 生きていく (to go on living), from 生きる (to live) + ていく (to go on doing).