The Currents in an Electrical Network Are Given by the Solutions

Multiple Choice

The currents in an electrical network are given by the solutions of the system $$\left\{ \begin{array} { r l r } I _ { 1 } + I _ { 2 } - I _ { 3 } & = 0 \\2 I _ { 1 } + 3 I _ { 3 } & = 37 \\4 I _ { 2 } + I _ { 3 } & = 25\end{array} \right.$$ where I₁, I₂, and I₃ are measured in amperes.Solve the system of equations using matrices.

A) no solution
B) I₁ = 3, I₂ = 3, I₃ = 7
C) I₁ = 5, I₂ = 4, I₃ = 9
D) I₁ = 3, I₂ = 3, I₃ = 6
E) I₁ = 5, I₂ = 9, I₃ = 4