If the system of equations … has infinitely many solutions, then … is equal to

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Matrices and Determinants

JEE Main 2022 · 29 Jul, Evening shift · Q4615

MathematicsMedium244×since 2002Q4615

If the system of equations

\begin{aligned} &x+y+z=6 \\ &2 x+5 y+\alpha z=\beta \\ &x+2 y+3 z=14 \end{aligned}

has infinitely many solutions, then

\alpha+\beta

is equal to

JEE Main 2022 · 29 Jul, Evening shift · Q4615

MathematicsMedium244×since 2002Q4615

If the system of equations

\begin{aligned} &x+y+z=6 \\ &2 x+5 y+\alpha z=\beta \\ &x+2 y+3 z=14 \end{aligned}

has infinitely many solutions, then

\alpha+\beta

is equal to