If the system of linear equations 3 x+y+\beta z=3 2 x+\alpha y-z=-3 x+2 y+z=4 has infinitely many solutions, then the value of 22 \beta-9 \alpha is: [2 Apr 2025 Shift 1]

JEE Main 2 Apr 2025 Shift 1 Paper

Section: Mathematics

Question : 9 of 75

Marks: +1, -0

If the system of linear equations
‌3x+y+βz=3
‌2x+αy−z=−3
‌x+2y+z=4
has infinitely many solutions, then the value of 22β−9α is:

[2 Apr 2025 Shift 1]

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