Determinants: JEE Mains 2022 June 29 Shift 1

Medium· Solving linear equations using matrices· +4 / −1
If the system of linear equations
2x+y−z=7x−3y+2z=1x+4y+δz=k\begin{aligned}2x+y-z&=7\\ x-3y+2z&=1\\ x+4y+\delta z&=k\end{aligned}
where δ,k∈R\delta,k\in\mathbb R, has infinitely many solutions, then δ+k\delta+k is equal to :
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