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Mathematics · 2023

JEE Main · 6 April 2023, Shift 1 · Q4

If the system of equations x+y+a z=b; 2 x+5 y+2 z=6; x+2 y+3 z=3 has infinitely many solutions, then 2 a+3 b is equal to

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 $\displaystyle 2 a+3 b$ is equal to
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.