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JEE Main20248 Apr 2024Evening ShiftMathematicsDeterminantsActual

If the system of equations x+4 y-z= , 7 x+9 y+ z=-3,5 x+y+2 z=-1 has infinitely many solutions, then (2 +3 ) is equal to :

Options

  1. A3
  2. B-3
  3. C-2
  4. D2

Correct answer

B. -3

Step-by-step solution

aligned & = | array ccc 1 & 4 & -1 7 & 9 & 5 & 1 & 2 array |=0 & (18- )-4(14-5 )-(7-45)=0 =0 & = _ x = _ y = _ z =0 (For infinite solution) & _ x = | array ccc & 4 & -1 -3 & 9 & -1 & 1 & 2 array |=0 & (18- )-4(-6+ )-1(-3+9)=0 & 18 +24-6=0 =-1 aligned

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