If the system of linear equations x $-$ 4y + 7z = g 3y $-$ 5z = h $-$2x + 5y $-$ 9z = k is consistent, then :

Question

If the system of linear equations
x $-$ 4y + 7z = g
3y $-$ 5z = h
$-$2x + 5y $-$ 9z = k
is consistent, then :

g + 2h + k = 0