Question

if the system of equations 4x+y and ( 2k -1)x+(k-1) y=2k is inconsistent, then find the value of k

Answer 1

For any equation ax + by + c = 0 and another

px + qy + r = 0, if they don't have any solution

The ratio of coffecients will be a/p = b/q ≠ c/r

so,
4/(2k-1) = 1/(k-1)
4k-4 = 2k-1
2k=3
k=3/2 .