[" If the equations "a(y+z)=x,b(z+x)=y,c(x+y)=z" have nontrivial solutions,then "],[(1)/(1+a)+(1)/(1+b)+(1)/(1+c)=]

Ifthe equations a(y+z)=x,b(z+x)=y,c(x+y)=z have nontrivial solutions,then (1)/(1+a)+(1)/(1+b)+(1)/(1+c)=

If a, b, c are non-zero real numbers and if the equations (a-1) x = y +z, (b-1) y = z + x , (c - 1) z = x + y have a non-trival solution, then ab+bc+ca=

If the system of equation x=a(y+z),y=b(z+x),z=c(x+y),(a,b,c!=-1) has a non-zero solution then the value of (a)/(a+1)+(b)/(b+1)+(c)/(c+1) is

If the system of equations x+2y+z=12,3x+y+2z=5,2x+lamday+2z=18 has nontrivial solution then lamda=

If the system of equations ax+y+z=0, x+by+z=0, x+y+cz=0 has a nontrivial solution. Where a!=1,b!=1,c!=1 , then a+b+c-abc=