Question

find the values of k for which the two pair of linear equation kx + y is equals to 5 and 12 + k y is equal to 1 have unique solution​

Answer 1

Pair of linear equations a, x + b, y = c1 , a2 x + b2 y = c2 has infinitely many solutions if a1a2 = b1b2 = c1c2 Given : kx + y = k^2 and x + ky = 1 has infinitely many solutions k1 = 1k = k^21 ...(i)Compassing k1 = 1k , we get K^2 = 1 k = ± 1 But k ≠ - 1 because it does not satisfy (i) k = 1