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MCQMediumJEE Main 2025 · 2 April, Shift 1Solving Linear Equations (Matrix Method)

Mathematics Question from JEE Main 2025 · 2 April, Shift 1

If the system of linear equations

3x+y+βz=32x+αy−z=−3x+2y+z=4\begin{aligned} 3x + y + \beta z &= 3 \\ 2x + \alpha y - z &= -3 \\ x + 2y + z &= 4 \end{aligned}

has infinitely many solutions, then the value of 22β−9α22\beta - 9\alpha is:

  • A

    4949

  • B

    3131

  • C

    4343

  • D

    3737

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