Question

Find the value of k for which the system of

equations has a unique solution. x-ky=4, 2x+3y= -7​

Answer 1

Answer:

k ∈ (-∞, -3/2)∪(-3/2, ∞)

Step-by-step explanation:

System of Simultaneous equation

ax + by = c

dx + ey = f

has a unique solution iff

a/d is not equal to b/c

Therefore for the given equations to have a unique solution, the condition is

1/2 is not equal to -k/3

or k is not equal to -3/2

Hence k ∈ (-∞, -3/2)∪(-3/2, ∞)