MCQMediumJEE Main 2023 · 11 April, Shift 2Solving Linear Equations (Matrix Method)

Mathematics Question from JEE Main 2023 · 11 April, Shift 2

If the system of linear equations:

7x+11y+αz=13,5x+4y+7z=β,175x+194y+57z=3617x + 11y + \alpha z = 13, \quad 5x + 4y + 7z = \beta, \quad 175x + 194y + 57z = 361

has infinitely many solutions, then α+β+2\alpha + \beta + 2 is equal to:

  • A

    33

  • B

    66

  • C

    55

  • D

    44

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