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AP EAMCET202421 May 2024Morning ShiftMathematicsDeterminantsActual

The system x+2 y+3 z=4,4 x+5 y+3 z=5,3 x+4 y+3 z= is consistent and 3 =n+100 , then n=

Options

  1. A-42
  2. B-86
  3. C16
  4. D-24

Correct answer

B. -86

Step-by-step solution

| array lll 1 & 2 & 3 4 & 5 & 3 3 & 4 & 3 array |=3-2(12-9)+3 (16-15)=0 For equation to be consistent aligned & ₃=0 | array lll 1 & 2 & 4 4 & 5 & 5 3 & 4 & array |=0 & 5 -20-2(4 -15)+4=0 = 14 3 & 3 =-14=n+100 14=n+100 n=-86 aligned

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