🛠️ JEE➗ Maths

If the system of linear equations \(3\mathrm{x}+\mathrm{y}+\mathrm{βz}=3\\ 2\mathrm{x}+\mathrm{αy}-\mathrm{z}=-3\\ \math…

Q1

If the system of linear equations
\(3\mathrm{x}+\mathrm{y}+\mathrm{βz}=3\\ 2\mathrm{x}+\mathrm{αy}-\mathrm{z}=-3\\ \mathrm{x}+2\mathrm{y}+\mathrm{z}=4\)
has infinitely many solutions, then the value of \(22\beta -9\alpha\) is:

a

\(49\)

b

\(31\)

c

\(43\)

d

\(37\)

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