Question

Find the value of k for which the system of equation kx+4y= k - 4,16x+ ky = k have infinitely many solution​

Answer 1

Answer:

16x + ky = k has infinite solution. k = 0 or k = 8 but k = 0 is not possible otherwise equation will be one variable. ⇒ k = 8 is correct value for infinite solution. Please give more questions

Answer 2

Solution

a1 = k, b1 = 4, c1 = –(k – 4)

a2 = 16, b2 = k, c2 = –k

Here the condition is

⇒ a1/a2= b1/b2= c1/c2

⇒ also

⇒ k2 = 64 ⇒ 4k = k2 – 4k

⇒ k = 8 ⇒ k(k – 8) = 0

k = 0 or k = 8 but k = 0 is not possible otherwise equation will be one variable.

⇒ k = 8 is correct value for infinite solution.