If the system of equations x+y+z=6 2 x+5 y+\alpha z=\beta x+2 y+3 z-14 has infinitely many solutions, then \alpha+\beta is equal to [29-Jul-2022-Shift-2]

JEE Mains 29-July-2022 Shift 2 Solved Paper

Section: Mathematics

Question : 3 of 90

Marks: +1, -0

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

[29-Jul-2022-Shift-2]

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