The Currents in an Electrical Network Are Given by the Solution

Multiple Choice

The currents in an electrical network are given by the solution of the system $$\left\{ \begin{aligned}I _ { 1 } - I _ { 2 } + I _ { 3 } & = 5 \\3 I _ { 1 } + 4 I _ { 2 } & = 19 \\I _ { 2 } + 3 I _ { 3 } & = 28\end{aligned} \right.$$
Where I₁, I₂ and I₃ are measured in amperes.Solve the system of equations using matrices.

A) I₁ = 5, I₂ = 4, I₃ = 8
B) I₁ = 4, I₂ = 4, I₃ = 8
C) I₁ = 3, I₂ = 4, I₃ = 8
D) I₁ = 2, I₂ = 4, I₃ = 8
E) I₁ = 1, I₂ = 4, I₃ = 8