For the system determine the value of for which the system possesses infinitely many…

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

Problem

For the system

x + y + z = 3, \quad 2x + 2y + 2z = 6, \quad kx + 3y + 3z = 9,

determine the value of

k

for which the system possesses infinitely many solutions. (a)

0

(b)

6

(c)

3

(d)

1