Question

find the value of k for which each of the following systems of equations has a unique solution 2x +3y-5=0,kx-6y-8=0

​

Answer 1

Answer:

Correct option is

B

k



=−4

Given, equations are 2x+3y−5=0, kx−6y−8=0

Here, a

1

=2, b

1

=3, c

1

=−5 and a

2

=k, b

2

=−6, c

2

=−8

For unique solutions, we know

a

2

a

1



=

b

2

b

1

⇒

k

2



=

−6

3

⇒3k



=−12

⇒k



=−4