🛠️ JEE➗ Maths

If the system of linear equations : \( \begin{aligned} & x+y+2 z=6 \\ & 2 x+3 y+a z=a+1 \\ & -x-3 y+b z=2 b …

Q1

If the system of linear equations :

\(
\begin{aligned}
& x+y+2 z=6 \\
& 2 x+3 y+a z=a+1 \\
& -x-3 y+b z=2 b
\end{aligned}
\)

where \(\mathrm{a}, \mathrm{b} \in {R}\), has infinitely many solutions, then \(7 a+3 b\) is equal to :

[JEE Main 2025, 22 Jan (Shift 2)]

a

9

b

12

c

16

d

22

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