Question

Write the values of k for which the system of equations x + ky = 0, 2x - y = 0 has
unique solution.​

Answer 1

Answer:

3x+ky=0,2x−y=0  

a  

1

​  

=3,b  

1

​  

=k and c  

1

​  

=0  

a  

2

​  

=2+b  

2

​  

=−1 and c  

2

​  

=0

a  

2

​  

 

a  

1

​  

 

​  

=  

2

3

​  

,  

b  

2

​  

 

b  

1

​  

 

​  

=  

−1

k

​  

 

a  

2

​  

 

a  

1

​  

 

​  

 



=  

b  

2

​  

 

b  

1

​  

 

​  

⇒  

2

3

​  

 



=  

−1

k

​  

 

The system has a unique solution.

k



=−3/2

Step-by-step explanation: