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JEE Main20252 Apr 2025Morning ShiftMathematicsDeterminantsActual

If the system of linear equations aligned & 3 x+y+ z=3 & 2 x+ y-z=-3 & x+2 y+z=4 aligned has infinitely many solutions, then the value of 22 -9 is :

Options

  1. A49
  2. B31
  3. C43
  4. D37

Correct answer

B. 31

Step-by-step solution

= | array ccc 3 & 1 & 2 & & -1 1 & 2 & 1 array |=0 3 +4 - +3=0 ₃= | array ccc 3 & 1 & 3 2 & & -3 1 & 2 & 4 array |=0 9 +19=0 = -19 9 , = 6 11 22 -9 =31

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