Answer
$x=8, y =-4 \text{ or } (8, -4)$
Work Step by Step
The system of equations is given by the following two equations:
$$\begin{cases}
3x=24 \hspace{20pt} (1)\\[3mm]
x+2y=0 \hspace{20pt} (2)
\end{cases}$$
$\text{Solving equation (1) for x}$
$$3x = 24 \\[3mm] x=\dfrac{24}{3} \\[5mm] x = 8$$
$\text{Substituting in equation (2) for } x=8$ gives:
$$8+2y= 0 \\[3mm] 2y= -8 \\[3mm] y=-4$$
Therefore, the solution is:
$\boxed{x=8 \hspace{20pt} y =-4}$