Question

If the system of equations 3x + 2y = 1 and x + ky = 2 has a unique solution then, find the value(s) of k.

Answer 1

Answer:

Given that,

The system of equations x - my = 2and 3x + 2y = - 5 has unique solution.

To find,

The value of k.

Solution,

If the system of equations have unique solutions, it would mean that :

Here,

a1 = 1, a2 = 3, b1 =-k, b2 = 2, c1 = 2 and c2 = -5

So,

1/3 =/ - k/2

K =/ - 2/3

So, K can take any value except -2/3.

Hence, this is the required solution.