If the system of equations 2x+y-z=5 2x-5y+λz=μ x+2y-5z=7 has infinitely many solutions, then(λ+μ)2+(λ-μ)2 is equal to

Question

If the system of equations
$2 x + y - z = 5$

$2 x - 5 y + λ z = μ$

$x + 2 y - 5 z = 7$
has infinitely many solutions, then $(λ + μ)^{2} + (λ - μ)^{2}$ is equal to

904

916

912

920

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