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The system of equations aligned & x+y+z= -1 & x+ y+z= -1 & x+y+ z= -1 aligned has no solution, if is

Options

  1. A-2
  2. Beither -2 or 1
  3. Cnot -2
  4. D1

Correct answer

A. -2

Step-by-step solution

aligned & x+y+z= -1 & x+ y+z= -1 & x+y+z = -1 & = | array ccc & 1 & 1 1 & & 1 1 & 1 & array | & = ( ^2-1 )-1( -1)+1(1- ) & = ( -1)( +1)-1( -1)-1( -1) & ( -1) [ ^2+ -1-1 ]=0 & ( -1) [ ^2+ -2 ]=0 & [ ^2+2 - -2 ]=0 & ( -1)[ ( +2)-1( +2)]=0 & ( -1)=0, +2=0 =-2,1 ; but 1 aligned

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