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The following system of equations 5 x - 7 y + 3 z = 3 , 5 x + y + 3 z = 7 and 5 x + 3 y + 2 z = 5 is

Options

  1. AConsistent with trivial solution
  2. BConsistent with a unique non trivial solution
  3. CConsistent with infinite solutions
  4. DInconsistent with no solution

Correct answer

B. Consistent with a unique non trivial solution

Step-by-step solution

∆ = 5 - 7 3 5 1 3 5 3 2 = 5 - 7 + 7 - 5 + 3 10 = - 40 ≠ 0 Hence, system of equation has non trivial unique solution as 0 , 0 , 0 does not satisfy system of equation.

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