If the system of equations α x + y + z = 5, x + 2y + 3z = 4, x + 3y + 5z = β has infinitely many solutions, then the ordered pair (α, β) is equal to:

Matrices and Determinants: JEE Main 2022 Mathematics question

JEE Main 2022 · 26 Jun, Evening shift · Q4606

JEE Main 202226 Jun, Evening shiftMathematicsMediumMatrices and Determinants245× since 2002

If the system of equations

\alpha

x + y + z = 5, x + 2y + 3z = 4, x + 3y + 5z =

\beta

has infinitely many solutions, then the ordered pair (

\alpha

\beta

) is equal to :