(Solved): 5. The equations describing the circuit shown are: v1+R1i1+R4i4=0R4i4+R2 ...

5. The equations describing the circuit shown are: $\begin{array}{l}?v_1+R_1{i}_1+R_4{i}_4=0\\ ?R_4{i}_4+R_2{i}_2+R_5{i}_5=0\\ ?R_5{i}_5+R_3{i}_3+v_2=0\\ i_1=i_2+i_4\\ i_2=i_3+i_5\end{array}$ Use the following values: $R_1=5?,R_2=100?,R_3=200?,R_4=150?,R_5=250\mathrm{k}?,v_1=100\mathrm{V},v_2=20\mathrm{V}$ Solve for the unknown variables $i_1,i_2,i_3,i_4,i_5$ using the inverse and reduced row echelon form (rref). Identify the values of the solution variables $\left(i_1,i_2,i_3,i_4,i_5\right)$ in mathematical section comments (both solutions should agree). What kind of solution does this system have?