If the system of linear equations: x+y+2 z=6 2 x+3 y+a z=a+1 -x-3 y+b z=2 b where a, b \in {R}, has infinitely many solutions, then 7 a+3 b is equal to: [22 Jan 2025 Shift 2]

JEE Main 22 Jan 2025 Shift 2 Paper

Section: Mathematics

Question : 9 of 75

Marks: +1, -0

If the system of linear equations:
‌x+y+2z=6
‌2x+3y+az=a+1
‌−x−3y+bz=2b
where a,b∈R, has infinitely many solutions, then 7a+3b is equal to:

[22 Jan 2025 Shift 2]

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