(Solved): Using linear albegra (Cramer's Rule) In the figure below a mass is supported by two wires making ang ...

In the figure below a mass is supported by two wires making angles $a$ and $b$, respectively, with the horizontal. Resolving forces in the horizontal and vertical direction shows that the magnitudes, $x_1$ and $x_2$ of the tensions in the support wires satisfy the equations: $\begin{array}{ll}\cos (a)x_1?\cos (b)x_2& =0\\ \sin (a)x_1+\sin (b)x_2& =mg\end{array}$ Use Cramer's rule to find formulas for $x_1$ and $x_2$ in terms of the angles $a$ and $b$, and the mass $m$. Hint: $\sin \left({?}_1+{?}_2\right)=\sin \left({?}_1\right)\cos \left({?}_2\right)+\cos \left({?}_1\right)\sin \left({?}_2\right)$