Question

for which value of K wil the following have no solution
3x+y =1
(2k-1)x + (k-1)y =2k+1
​

Answer 1

no solution=a1/a2=b1/b2

here's

a1=3

a2=2k-1

b1=1

b2=k-1

using identity we get

3/2k-1 =1/k-1

1(2k-1)=3(k-1)

2k-1=3k-3

2k-3k=-3+1

-k=-2

k=2 is the answer