Given the system of equations find the value of for which the system is inconsistent.

MATHEMATICS · Single correct · CBSE · Mathematics · Pair of Linear Equations in Two Variables · Pair of Linear Equations in Two Variables

Problem

Given the system of equations

kx + y + z = 1,

x + ky + z = 1,

x + y + kz = k,

find the value of

k

for which the system is inconsistent. (a)

k=-2

(b) No value of

k

makes the system inconsistent (c)

k=1

(d)

k=0