Question

for what value of k will following pair of lenier equation have infinite many solution Kx+3y-(k-3)=0 and 12x+Ky-K=0

Answer 1

for imfinte solution
a1/a2=b1/b2=c1/c2

a/q
k/12=3/k
k^2=36
k=6

Answer 2

a1=k, b1=3, c1=k-3
a2=12, b2=k, c2=k
as/q
a1/a2=b1/b2=c1/c2
take 1term and 2term
k/12=3/k
k2=36
k=6
or
take 2&3rdterm
3/k=k-3/k
3k=k2-3k
k2-3k-3k=0
k2-6k=0
k(k-6)=0
(k-6)
either,
k-6=0
k=6...