If the system of equations x+y+z=2 2x+4y–z=6 3x+2y+$\lambda $z=$\mu $ has infinitely many solutions, then

Question

If the system of equations
x+y+z=2
2x+4y–z=6
3x+2y+$\lambda $z=$\mu $
has infinitely many solutions, then

2$\lambda $ - $\mu $ = 5

$\lambda $ - 2$\mu $ = -5

2$\lambda $ + $\mu $ = 14

$\lambda $ + 2$\mu $ = 14

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