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JEE Math Practice Question

If the following system of linear equations 2x + y + z = 5 x $$-$$ y + z = 3 x + y + az = b has no solution, then :

  1. A.$$a = - {1 \over 3},b \ne {7 \over 3}$$
  2. B.$$a \ne {1 \over 3},b = {7 \over 3}$$
  3. C.$$a \ne - {1 \over 3},b = {7 \over 3}$$
  4. D.$$a = {1 \over 3},b \ne {7 \over 3}$$

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