Find all value(s) of for which the system x + 2y + 3z = 4, 2x + ky + 6z = 8, 3x + 6y…

MATHEMATICS · Subjective · CBSE · Mathematics · Pair of Linear Equations in Two Variables · Pair of Linear Equations in Two Variables

Problem

Find all value(s) of

k

for which the system

x + 2y + 3z = 4, \\ 2x + ky + 6z = 8, \\ 3x + 6y + kz = 12

has infinitely many solutions.