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AP EAMCET2003MathematicsDeterminants

The number of solutions of the system of equations 2 x+y-z=7, x-3 y+2 z=1 , x+4 y-3 z=5 is

Options

  1. A0
  2. B1
  3. C2
  4. D3

Correct answer

A. 0

Step-by-step solution

Given that, 2 x+y-z=7 (i) x-3 y+2 z=1 (ii) and x+4 y-z=5 (iii) From Eqs. (i) and (ii), 5 x-y=15 (iv) From Eqs. (i) and (iii), 5 x-y=16 (v) Equation (iv) and (v) shows that they are parallel and solution does not exist.

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