Question

For what value of k the system of equation have unique solution X-KY=2 and 3 X + 2 y = -5 ​

Answer 1

Given:

x-ky=2 ........................(1)

3x+2y=-5....................?

3x+2+5=........,..............(2)

formet used:

=> a1x+b1y+c1=0

=>. a2x+b2y+c2=0

Unique Solution:

=> a1/a2 doesn't equal to b1/b2

To find:

a1= 1. b1=-k. c1= 2

a2=3. b2=2. c2= 5

•••> a1 /a2 doesn't equal to b1/b2 (given)

Now,

1/3 doesn't equal to -k/2

=>. k\ 2 doesn't equal to -1/3

=>. K doesn't equal to -2/3

Hence:

unique Solution of value system the find.

-k/3. -1/3. -k/3.