Question

if the equations kx-2y=3 and 3x+y=5 represent two intersecting lines at unique point then the value of k is ?
​

Answer 1

Answer:

k= 9/5

Step-by-step explanation:

kx - 2y - 3 = 0  ;  a1=k, b1= -2, c1= -3

3x + y - 5 = 0   ;  a2=3, b2= 1, c2= -5

For unique intersecting point,

$\frac{a1}{a2} = \frac{c1}{c2}$

$\frac{k}{3} = \frac{-3}{-5}$

$\frac{k}{3} = \frac{3}{5}$

k= 9/5