Question

The value of k for which the system of linear equations x+2y=3, 5x+ky+7=0 is inconsistent is
(a) -14/3
(b) 2/5
(c) 5
(d) 10​

Answer 1

Answer:

Explanation:

x+2y=3

5x+Kya=-7

a1=1 b1=2 c1=3

a2=5. b2=k. c2=-7

For unique solution this equation must have

=>a1/a2≠b1/b2

so, by this

1/5≠2/k

10≠k

So, the value of k can be any real no. but not 10

Answer 2

Answer:

Option (d). 10

Explanation

If the system of linear equations are inconsistent, then a1/a2=b1/b2≠c1/c2

1/5=2/k (a1/a2=b1/b2)

k=2x5

k=10

Therefore, if the system of linear equations is inconsistent, then the value of k is 10.