Question

Find the value(s) of k for which the pair of linear equations kx + y = k2 and x + ky = 1 have infinitely many solutions.​

Answer 1

Answer:

         k = ±1

Step-by-step explanation:

kx + y = k²

x + ky = 1

a₁ = k , b₁ = 1 , c₁ = k²

a₂ = 1 , b₂ = k , c₂ = 1

a₁ = b₁ = c₁            (infinitely many equations)                                                       a₂   b₂    c₂

k / 1 = 1 / k = k² / 1

k / 1 = 1 / k

k² = 1

k = ±1