Question

1 point The pair of linear equation 2kx + 5y = 7, 6x – 5y = 11 has a unique solution, if​

Answer 1

Answer:

= - 3

Step-by-step explanation:

The equation are

2kx+5y−7=0

6x−5y−11=0

Here, a  

1

​

=2k,b  

1

​

=5,c  

1

​

=−7

and a  

2

​

=6,b  

2

​

=−5,c  

2

​

=−11

Forthesystemtohaveuniquesolution

⇒  

a  

2

​

 

a  

1

​

 

​

 



=  

b  

2

​

 

b  

1

​

 

​

 

⇒  

6

2k

​

 



=  

−5

5

​

 

⇒2k



=−6⇒k



=−3The equation are

2kx+5y−7=0

6x−5y−11=0

Here, a  

1

​

=2k,b  

1

​

=5,c  

1

​

=−7

and a  

2

​

=6,b  

2

​

=−5,c  

2

​

=−11

Forthesystemtohaveuniquesolution

⇒  

a  

2

​

 

a  

1

​

 

​

 



=  

b  

2

​

 

b  

1

​

 

​

 

⇒  

6

2k

​

 



=  

−5

5

​

 

⇒2k



=−6⇒k



=−3