If the system of equations x+2y+3z=3 4x+3y-4z=4 8x+4y- λz=9+ has infinitely many solutions, then the ordered pair ( , ) is equal to

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Correct answer: C. (c) Solution x+2y+3z=3 ..................(i) 4x+3y-4z=4 ................(ii) 8x+4y- λz=9+ ............(iii) (i ) 4- ( ii ) ⇒5y+16z=8 (iv) ( ii ) 2- ( iii ) ⇒2y+( -8)=-1- .............(v) ( iv ) 2- ( iii ) 5 ⇒(32-5( -8))z=16-5 (-1- ) For infinite solutions ⇒72-5 =0 ⇒ = 725 21+5 =0 ⇒ = -215 ⇒ ( , )= ( 725 , -215 )

$If the system of equations x + 2 y + 3 z = 3 4 x + 3 y - 4 z = 4 8 x + 4 y - λz = 9 + μ has infinitely many solutions, then the ordered pair (λ, μ) is equal to$

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