Question

The pair of linear equation 3x+y=4 and 9x+3y-12=0 has

1 point

One solution

Two solution

Infinitely many solution

No solution​

Answer 1

Answer:

a

Step-by-step explanation:

k=2

The equations are

3x+4y−k=0

9x+12y−6=0

Here, a  

1

​  

=3,b  

1

​  

=4,c  

1

​  

=−k

and a  

2

​  

=9,b  

2

​  

=12,c  

2

​  

=−6

For the system to have infinite solution if

a  

2

​  

 

a  

1

​  

 

​  

=  

b  

2

​  

 

b  

1

​  

 

​  

=  

c  

2

​  

 

c  

1

​  

 

​  

 

⇒  

9

3

​  

=  

12

4

​  

=  

−6

−k

​  

 

⇒3k=6

⇒k=2