Question

The sum of possible values of k for which the system of equations kx + (k + 4)y – 9 = 0 and (k + 4)x + 9ky – 5 = 0 has no solution, is

Answer 1

Answer:

k=-1 or -2

Step-by-step explanation:

as the question states that there are no real solutions

the condition for inconsistence roots is

A1/A1= B1/B2 \neq C1/C1

according to the question

k/k+4=k+4/9k

by cross multiplication

8k^{2}-8k-16

now solve this quadratic equation to get the ans