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According to Cramer's rule, for a system Ax = b, the solution component xᵢ is given by:
xᵢ = det(Aᵢ) - det(A)
xᵢ = det(A) × det(Aᵢ)
xᵢ = |det(Aᵢ)| / |det(A)|
xᵢ = det(Aᵢ) / det(A)
xᵢ = det(A) / det(Aᵢ)
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