Question

Find K for which equation has unique solution:
x - ky = 2; 3x + 2y + 5 = 0​

Answer 1

Answer:

The given system of equations are

x - ky – 2 = 0

3x + 2y + 5 = 0

This system of equations is of the form:

a1x+b1y+c1=0anda2x+b2y+c2=0

where,

a1=1,b1=-k,c1=-2anda2=3,b2=2,c2=5

Now, for the given system of equations to have a unique solution, we must have:

a1a2≠b1b2

⇒

13≠−k2

⇒

k≠-23

Hence,

k≠-23.