Question

for what value of k will the equation kx + 4 Y =K - 4, 16 X + Y = K is has infinity solution​

Answer 1

Answer:

k= 8

Step-by-step explanation:

when equation has infinite solutions then, A1/A2=b1/b2=C1/C2

A1=k, b1=4, C1=-(k-4), A2=16, b2=1, C2=-k

k/16=4/1=-(k-4)/-k

k/16=k-4/k

k×k = 16(k-4)

k^2= 16k - 64

k^2 - 16k + 64 = 0

k^2 - 8k - 8k +64 = 0

k(k - 8 ) - 8( k - 8) = 0

(k - 8 ) (k - 8) = 0

k=8....

hope it helps you....