Question 1085977
1/k+1=k+1/9=5/8k-1

K+1×k+1=9

(K+1)^2=9


K+1=√9


K+1=+-3


Take k+1=3

K=3-1
K=2


K=2. Ans


Take k+1=-3 
  K=-3-1
   K=-4 

Now we can check our and answer 

Putk=2 
x+2+1×y=5;2+1×x+9y=8×2-1
x+3y=5;3x+9y=15
x=5-3y;3×5-3y+9y=15
       15+6y=15
        y=0 
Put y=0 
x=5-3×0
  x=5
Put k=-4
x-3y=5
x=5+3y
Put the value of x in equation 
5+3y-3y=5
5=5
Put in 2equation 
is not equal Lhs is not equal to Rhs
So the and is k=2