k किस मान के लिए , निम्न रेखिक समीकरण के युग्म का कोई हल नहीं है ?
`3x + y = 1`
`(2k -1)x + (k - 1)y = 2k + 1`

( k - 1 ) x - y = 5 , (k + 1 ) x + ( 1 - k ) y = ( 3k + 1 )

{:(2x + 3y = 2),((k + 2)x + (2k + 1)y = 2(k - 1)):}

{:(2x + (k - 2)y = k),(6x + (2k - 1) y = 2k + 5):}

5x + 2y = 2k , 2 (k + 1 ) x + ky = (3k + 4)

For which value of k will the following pair of linear equations have no solution ? 3x + y = 1 , (2k - 1) x + (k- 1) y = 2k + 1.

det [[x ^ (k), x ^ (k + 2), x ^ (k + 3) y ^ (k), y ^ (k + 2), y ^ (k + 3) z ^ (k) , z ^ (k + 2), z ^ (k + 3)]] = (xy) (yz) (zx) {(1) / (x) + (1) / (y) + (1) / ( from)}