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MHT CET2007MathematicsDeterminants

For the equations x+2 y+3 z=1,2 x+y+3 z=2 and 5 x+5 y+9 z=4

Options

  1. Athere is only one solution
  2. Bthere exists infinitely many solution
  3. Cthere is no solution
  4. DNone of the above

Correct answer

A. there is only one solution

Step-by-step solution

&= | array lll 1 & 2 & 3 2 & 1 & 3 5 & 5 & 9 array | &=1(9-15)-2(18-15)+3(10-5) &=-6-6+15=3 0 aligned Hence, the system of equations has a unique solution.

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