#### Answer

The ordered triple $\left( x,y,z \right)$ satisfies the equation $2x-y+4z=-8$

#### Work Step by Step

It is provided that:
$x=3,y=2\text{ and }z=-3\ $
And we must satisfy the equation $2x-y+4z=-8$
Now, put the values of x, y and z in the equation,
$\begin{align}
& 2\left( 3 \right)-\left( 2 \right)+4\left( -3 \right)=-8 \\
& 6-2-12=-8 \\
& 6-14=-8 \\
& -8=-8
\end{align}$
Thus, the ordered triple $\left( x,y,z \right)$ satisfies the equation $2x-y+4z=-8$