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Question

If the system of equations

$x+2y+3z=3$

$4x+3y-4z=4$

$8x+4y-\lambda z=9+\mu$

has infinitely many solutions, then the ordered pair ($\lambda,\mu$) is equal to :

$\left( {{{72} \over 5},{{21} \over 5}} \right)$
$\left( { - {{72} \over 5}, - {{21} \over 5}} \right)$
$\left( { - {{72} \over 5},{{21} \over 5}} \right)$
$\left( {{{72} \over 5}, - {{21} \over 5}} \right)$

Solution

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