Question

Find the value of K 3x+y=0,(2k-1)x +(k-1)y=2k+1 has no solution??

Answer 1

3x+y=0.....(1)

(2k-1)x+(k-1)y-(2k+1) .........(2)

For no solution

a1/a2=b1/b2≠c1/c2

3/(2k-1)=1/(k-1)≠0/-(2k+1)

On comparing

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

3(k-1)=2k-1

3k-3=2k-1

3k-2k=-1+3

k=2