MCQMediumJEE Main 2024 · 31 January, Shift 1Solving Linear Equations (Matrix Method)

Mathematics Question from JEE Main 2024 · 31 January, Shift 1

If the system of linear equations:

x2y+z=4x - 2y + z = -4 2x+αy+3z=52x + \alpha y + 3z = 5 3xy+βz=33x - y + \beta z = 3

has infinitely many solutions, then 12α+13β12\alpha + 13\beta is equal to:

  • A

    6060

  • B

    6464

  • C

    5454

  • D

    5858

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