Question

The value of 'k' for which the system of equation x - ky= 2
and 3x + 2y = -5 has a unique solution is
​

Answer 1

Step-by-step explanation:

Given

a1=1 a2=3

b1=k b2=2

c1=2 c2= -5

where

a1/a2=1/3

b1/b2= -k/2

c1/c2=2/-5

For unique solution we have

a1/a2=b1/b2≠c1/c2

Now.

1/3=-k/2

2= -3k

2/3=k

therefore k=2/3