Question

for what value of k the pair of linear equations kx-4y=3 and 6x-12y=9. have infinite as no. of solutions. ​

Answer 1

Answer:

k = 2

Step-by-step explanation:

if the two equations ax + by = c and dx+ ey = f  have infinite number of solutions, then :

a/d = b/e = c/f          (1)

according to the ques, a=k, b= -4, c=3, d=6, e= -12, f=9

to find the value to k, we will substitute the values of (1)

=>  k/6 = -4/-12 = 3/9

=>  k/6 = 1/3 = 1/3

=>  k = 6/3

=>  k = 2