Question

Assertion : When k= -4 , then linear equations x+(k+1) =5, (k+1)x+9y = 8k-1 have infinitely many solution. Reason : ax+by=c and lx+my=n have infinitely many solution if a/l = b/m = c/n

Answer 1

Answer:

Step-by-step explanation:

x+(k+1)=5......(I)

(k+1)x+9y=8k-1.....(2)

Her for infinity solution,a1/a2=b1/b2=c1/c2

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

now, 1/k+1=k+1/9

9=(k+1) (k+1)

9=k2+2k+1

or k2+2k-8=0

k2+4k-2k-8=0

k(k+4)-2(k+4)=0

(k+4)(k-2) =0

either, k=2 or k=-4

and k+1/9=5/8k-1

(k+1)(8k-1)=45

8k2-k+8k-1=45