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The equations aligned & x+2 y+3 z=1 & 2 x+y+3 z=2 & 5 x+5 y+9 z=4 aligned

Options

  1. Ahave the unique solution
  2. Bhave infinitely many solutions
  3. Care inconsistent
  4. DNone of the above

Correct answer

A. have the unique solution

Step-by-step solution

aligned & x+2 y+3 z=1 & 2 x+y+3 z=2 & 5 x+5 y+9 z=4 aligned Writing in matrix form, Ax = B aligned & A= [ array lll 1 & 2 & 3 2 & 1 & 3 5 & 5 & 9 array ] & |A|=1(9-15)-2(18-15)+3(10-5) & =-6-2(3)+3(5)=-12+15=3 0 aligned So, these equations have unique solution

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