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University linear algebra
This is the application of Kramer's law to the ternary equation.

D D 1 D2 D3 are four determinants, the first is the coefficient determinant, and the last few are replaced by constant terms.

The third-order determinant is obtained by changing the equation coefficients of the corresponding unknowns A, B and C.

1 1 1 0 1 1 1 0 1 1 1 0

d = 4 2 1d 1 = 3 2 1 D2 = 4 3 1 D3 = 4 2 3

9 -3 1 28 -3 1 9 28 1 9 -3 28