Chapter 7, Problem 5P

Consider the two-node circuit shown in Fig P7.5. The voltages $V_1$ and $V_2$ (in A) satisfy the following system of equations: $17V_1=10V_2+50$ $(7.92)$ $11V_2-6V_1-42=0$ $(7.93)$

(a)Find $V_1$ and $V_2$ using the substitutions method.

(b) Write the system of equations $(7.92)$ and $(7.93)$ in the matrix form $AV=b$, where $V=\left[\begin{array}{c}{V}_1\\ V_2\end{array}\right]$.

(c) Find $V_1$ and $V_2$ using the matrix algebra method. Perform all computations by hand and show all steps.

(d) Find $V_1$ and $V_2$ using the Cramer’s rule.