If the system of linear equations \[ \begin{aligned} & 7 x+11 y+\alpha z=13 \\ & 5 x+4 y+7 z=\beta \\ & 175 …
Q1
If the system of linear equations
\[
\begin{aligned}
& 7 x+11 y+\alpha z=13 \\
& 5 x+4 y+7 z=\beta \\
& 175 x+194 y+57 z=361
\end{aligned}
\]
has infinitely many solutions, then \(\alpha+\beta+2\) is equal to
[JEE Main 2023, 11 Apr (Shift 2)]
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