If the system of equations $\begin{aligned}& x+y+a z=b \& 2 x+5 y+2 z=6 \& x+2 y+3 z=3\end{aligned}$ has infinitely many solutions, then $2 a+3 b$ is equal to [JEE Main 2023, 6 Apr (Shift 1)]

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If the system of equations \(\begin{aligned}& x+y+a z=b \\& 2 x+5 y+2 z=6 \\& x+2 y+3 z=3\end{aligned}\) has…

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If the system of equations \(\begin{aligned}&amp; x+y+a z=b \\&amp; 2 x+5 y+2 z=6 \\&amp; x+2 y+3 z=3\end{aligned}\) has…

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If the system of equations \(\begin{aligned}& x+y+a z=b \\& 2 x+5 y+2 z=6 \\& x+2 y+3 z=3\end{aligned}\) has…