If the system of equations x+y+z=6 2 x+5 y+α z=β x+2 y+3 z=14 has infinitely many solutions, then α+β is equal to

Matrices and Determinants: JEE Main 2022 Mathematics question

JEE Main 2022 · 29 Jul, Evening shift · Q4615

JEE Main 202229 Jul, Evening shiftMathematicsMediumMatrices and Determinants245× since 2002

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

JEE Main 202229 Jul, Evening shiftMathematicsMediumMatrices and Determinants245× since 2002

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