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Q2. (a) Three currents i₁ , i₂ and i₃ in an electrical network are given by the following equations:

i₁ + 2 i₂ - 5 i₃ = - 6.53

2 i₁ + 3 i₂ - i₃ = - 0.55

-3 i₁ + i₂ + 4 i₃ = 7.42

Solve the system for i₁ , i₂ and i₃. (10)

(b) Express the following function of x as a single algebraic fraction in its simplest form:

3/(x - 1) - 2/(x + 2) - 6/(x² + x - 2) (6)