Suppose \(\mathrm{p}, \mathrm{q}, \mathrm{r} \neq 0\) and system of equation \( (p+a) x+b y+c z=0 \) \(a x+(q+b) y+c z=0…

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

\( (p+a) x+b y+c z=0 \)
\(a x+(q+b) y+c z=0\)
\(a x+b y+(r+c) z=0\)

has a non-trivial solution, then value of \(\frac{\mathrm{a}}{\mathrm{p}}+\frac{\mathrm{b}}{\mathrm{q}}+\frac{\mathrm{c}}{\mathrm{r}}\) is