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 About the author Josephine
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 Reply
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