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Question
If the following system of linear equations

2x + y + z = 5

x $-$ y + z = 3

x + y + az = b

has no solution, then :
$a = - {1 \over 3},b \ne {7 \over 3}$
$a \ne {1 \over 3},b = {7 \over 3}$
$a \ne - {1 \over 3},b = {7 \over 3}$
$a = {1 \over 3},b \ne {7 \over 3}$

Solution

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