If the system of linear equations 2x + y - z = 7 x - 3y + 2z = 1 x + 4y + δ z = k, where δ, k R has infinitely many solutions, then δ + k is equal to:

Matrices and Determinants: JEE Main 2022 Mathematics question

JEE Main 2022 · 29 Jun, Morning shift · Q4602

JEE Main 202229 Jun, Morning shiftMathematicsMediumMatrices and Determinants245× since 2002

If the system of linear equations 2x + y

-

z = 7 x

-

3y + 2z = 1 x + 4y +

\delta

z = k, where

\delta

, k

\in

R has infinitely many solutions, then

\delta

+ k is equal to: