Answer
See below
Work Step by Step
According to Cramer's Rule for a $2\times 2$ system $Ax=b$ where $A=\begin{bmatrix}
a_1 &b_1\\a_2&b_2
\end{bmatrix}$ and $b=\begin{bmatrix}
c_1\\c_2
\end{bmatrix}$
we have $x_1=\frac{\begin{vmatrix}
c_1 &b_1\\c_2&b_2
\end{vmatrix}}{\begin{vmatrix}
a_1 &b_1\\a_2&b_2
\end{vmatrix}}=\frac{\begin{vmatrix}
4 &5\\9&2
\end{vmatrix}}{\begin{vmatrix}
3 &5\\ 6&2
\end{vmatrix}}=\frac{8-45}{6-30}=\frac{37}{24}$
and $x_2=\frac{\begin{vmatrix}
a_1 &c_1\\a_2&c_2
\end{vmatrix}}{\begin{vmatrix}
a_1 &b_1\\a_2&b_2
\end{vmatrix}}=\frac{\begin{vmatrix}
3 &4\\6&9
\end{vmatrix}}{\begin{vmatrix}
3&5\\ 6&2
\end{vmatrix}}=\frac{27-24}{6-30}=\frac{-1}{8}$
