Answer
The equation is, $11x+4y=-3$.
Work Step by Step
By multiplying equation (II) by 2 and adding into equation (I), we get:
$\begin{align}
& 5x-2y-4z=3 \\
& \underline{6x+6y+4z=-6} \\
& \underline{11x+4y+0z=-3} \\
\end{align}$
Thus, the equation becomes
$11x+4y=-3$.