Answer
Solution set = $\displaystyle \{(4,\frac{1}{3})\}$
Work Step by Step
$D= $determinant of the coefficient matrix
$=\left|\begin{array}{ll}
2 & -9\\
3 & -3
\end{array}\right|=2(-3)-(-9)(3)=21$
$D_{x}=$ in D, replace the x column with the constants column
$=\left|\begin{array}{ll}
5 & -9\\
11 & -3
\end{array}\right|=-15+99=84$
$D_{y}=$ in D, replace the x column with the constants column
$=\left|\begin{array}{ll}
2 & 5\\
3 & 11
\end{array}\right|=22-15=7$
$x=\displaystyle \frac{D_{x}}{D}=\frac{84}{21}=4$
$y=\displaystyle \frac{D_{y}}{D}=\frac{7}{21}=\frac{1}{3}$
Solution set = $\displaystyle \{(4,\frac{1}{3})\}$
