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If the system of linear equations x + y + z = 5 x + 2y + 2z = 6 x + 3y + λz = μ, (λ, μ ∈ R), has infinitely many solutions,

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If the system of linear equations

 x + y + z = 5 x + 2y + 2z = 6

x + 3y + λz = μ, (λ, μ ∈ R), has infinitely many solutions, then the value of λ + μ is :

(1) 10 (2) 9 (3) 12 (4) 7 

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Correct option (1) 10 

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