For which value of does the following system of equations become inconsistent

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

Problem

For which value of

k

does the following system of equations become inconsistent?

\begin{aligned}x+y+z&=6,\\2x+3y+4z&=14,\\3x+5y+kz&=20.\end{aligned}

(a)

k=5

(b)

k=7

(c)

k=6

(d)

k=8