Question

For what value of k for which the following system of the linear equations has no solution 6x- 3y+ 10= 0 and 2x+ ky+ 9= 0

Answer 1

Heya!!

CONDITION

For two straight lines having no solution say

ax + bx + c = 0

And

a'x + b'y + c = 0

IS

a/a' = b/b'

Here a = 6 , b = -3 , a' = 2 and b'= k

=>

6/2 = -3/k

=>

3 = -3/k

=>

k = -1