Question

if the system of equations (k-3)x+3y=2k and 2x + (k-4)y =8 has infinet solution then find the value of k pls send solution pls help me

Answer 1

Answer:

(k-3) /2 = 3/(k-4) = 2k/8

(k-3) (k-4) = 6

k²+12 - 4k -3k = 6

k²-7k+12=6

k²-7k+6=0

k²-k-6k+6=0

k(k-1) -6(k-1) =0

(k-1) (k-6) =0

k =1, 6