Answer
$(\displaystyle \frac{2}{3},\frac{1}{9})$ is a solution of the system.
Work Step by Step
An ordered pair is a solution to the system if it satisfies both equatons:
$ \begin{array}{lllll}
(\frac{2}{3})+3(\frac{1}{9}) & =1 & .... & 4(\frac{2}{3})+3(\frac{1}{9}) & =3\\
\frac{2}{3}+\frac{1}{3} & =1 & & \frac{8}{3}+\frac{1}{3} & =3\\
\frac{3}{3} & =1 & & \frac{9}{3} & =3\\
TRUE & & & TRUE &
\end{array} $
$(\displaystyle \frac{2}{3},\frac{1}{9})$ is a solution of the system.