Question

find value for infinitely many solutions. x+(k+1)y=5 ,(k+1)x+ay=8k-1

Answer 1

solution

For infinite solition:
$\frac{a1}{a2} = \frac{b1}{b2} = \frac{c1}{c2}$
so, comparig the equation with it.

1/k+1= k+1/a=5/8k-1

=> 1/K+1= 5/8k-1

=> 8k-1= 5k+5

=> 3k= 6

=> k= 2

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Hope it helps:)

#Amrit⭐