Question

If kx+3y-5=0and 3x+9y-15=0 represents coincident lines then find the value of"k"

Answer 1

This is ur answer buddy ❤️

Answer 2

Answer:

Step-by-step explanation:

The given system may be written as

kx + 3y − 5 = 0  

3x + 9y − 15 = 0

The given system of equation is of the form

a1x + b1y − c1 = 0  

a2x + b2y − c2 = 0  

Where, a1 = k, b1 = 3, c1 = −5

a2 = 3, b2 = 9, c2 = −15

For unique solution, we have

=   =  

=  =  

=                        OR                   =    

           By cross multiplication

9k = 9                                     -15k = -15

 k =                                           k =  

 k = 1                                          k = 1

Therefore, the given equation has infinitely many solution.

And the value of k is 1.