Suppose \(p,q,r\neq 0\) and system of equation \((p+a)x+by+cz=0\), \(ax+(q+b)y+cz=0\), \(ax+by+(r+c)z=0\) has a non-triv…

Suppose \(p,q,r\neq 0\) and system of equation

\((p+a)x+by+cz=0\),

\(ax+(q+b)y+cz=0\),

\(ax+by+(r+c)z=0\) has a non-trivial solution, then value of \(\frac{a}{p}+\frac{b}{q}+\frac{c}{r}=\)