Question

The value of k for which the system, of equations has infinite number of solutions, is 2x+3y=54 and x+ky=10

Answer 1

Answer:

answer is 3/2

Step-by-step explanation:

condition for infinite solution = a1/ a2 = b1/b2 = c1/c2

a1 = 2, a2 = 1, b1= 3, b2= k c1= -54, c2= -10

So,

2/1 = 3/k = (-54/-10)

2/1 = 3/k = 54/10     [ since (-) was cancelled by (-) ]

Lets take,

2/1 = 3/k

2k = 3

k = 3/2