Use the direct method to solve the equations of motion for a system with the following property matrices,

\[ \begin{aligned} & {[M]=\left[\begin{array}{ll} 1 & 0 \\ 0 & 1 \end{array}\right], \quad[C]=\left[\begin{array}{cc} 5 & -2 \\ -2 & 3 \end{array}\right]} \\ & {[K]=\left[\begin{array}{cc} 2 & -1 \\ -1 & 1 \end{array}\right]} \end{aligned} \]

Sketch this system.