Perform the Row Operations on the Matrix and Write the Resulting

Multiple Choice

Perform the row operations on the matrix and write the resulting matrix.
-Replace $R_{2}$ by $\frac{1}{3} R_{1}+\frac{1}{2} R_{2}$
$\left[\begin{array}{rr|r}3 & 0 & 9 \\ -2 & 4 & 8\end{array}\right]$

A) $\left[\begin{array}{ll|l}3 & 0 & 9 \\ 0 & 2 & 7\end{array}\right]$
B) $\left[\begin{array}{ll|l}3 & 0 & 9 \\ 0 & 0 & 7\end{array}\right]$
C) $\left[\begin{array}{rr|r}3 & 0 & 9 \\ -1 & 2 & 4\end{array}\right]$
D) $\left[\begin{array}{rr|r}3 & 0 & 9 \\ 1 & 4 & 17\end{array}\right]$