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Let a,b,c,x,y and z be real numbers that...

Let `a,b,c,x,y` and `z` be real numbers that satisfy the three equations `13x+by+cz=0 ,ax+23y+cz=0 ,ax+by+42z=0` Suppose that `a!=13` and `x!=0` What is the absolute value of `(13)/(a-13)+(23)/(b-23)+(42)/(c-42)?`

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