Question

The following is a given pair of linear equations 3x+2y(k-9)=0 and 9x+6y-12=0 answer the following question with reference to the given equations i) write down the condition for infinitely many solution ? ii) find the value of k?​

Answer 1

Answer:

plize klick on brainlests plize

Step-by-step explanation:

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 solutions condition is

a

2

a

1

=

b

2

b

1

=

c

2

c

1

⇒

9

3

=

12

4

=

−6

−k

12

4

=

−6

−k

⇒

3

1

=

−6

−k

⇒3k=6