Usando regla de Cramer calcula los siguientes sistemas de ecuaciones?

Primero establecemos y ordenamos los valores de cada variable en cada ecuación.

A) 2x - y + z - 2y = - 5 → 2x - 3y + z + t = - 5b) 2x + 2y + y = - 1 → 2x + 3y + 0z + 0t = - 1c) - x + y - z = 1 → - x + y - z + 0t = 1d) 4x - 3y + 2z - 3t = - 8 → 4x - 3y + 2z - 3t = - 8 Establecemos y resolvemos el sistema Cramer : ∆ = <img src="https://tex.z-dn.net/?f=%20%5Cbegin%7Bpmatrix%7D2%26-3%261%260%5C%5C%20%5C%3A2%263%260%260%5C%5C%20%5C%3A-1%261%26-1%260%5C%5C%20%5C%3A4%26-3%262%26-3%5Cend%7Bpmatrix%7D%20" /> = 21

∆1 = <img src="https://tex.z-dn.net/?f=%20%5Cbegin%7Bpmatrix%7D-5%26-3%261%260%5C%5C%20%5C%3A-1%263%260%260%5C%5C%20%5C%3A1%261%26-1%260%5C%5C%20%5C%3A-8%26-3%262%26-3%5Cend%7Bpmatrix%7D%20" /> = - 42 ∆2 = <img src="https://tex.z-dn.net/?f=%20%5Cbegin%7Bpmatrix%7D2%26-5%261%260%5C%5C%202%26-1%260%260%5C%5C%20-1%261%26-1%260%5C%5C%204%26-8%262%26-3%5Cend%7Bpmatrix%7D%20" /> = 21∆3 = <img src="https://tex.z-dn.net/?f=%20%5Cbegin%7Bpmatrix%7D2%26-3%26-5%260%5C%5C%20%5C%3A2%263%26-1%260%5C%5C%20%5C%3A-1%261%261%260%5C%5C%20%5C%3A4%26-3%26-8%26-3%5Cend%7Bpmatrix%7D%20" /> = 42

∆4 = <img src="https://tex.z-dn.net/?f=%20%5Cbegin%7Bpmatrix%7D2%26-3%261%26-5%5C%5C%20%5C%3A%5C%3A2%263%260%26-1%5C%5C%20%5C%3A%5C%3A-1%261%26-1%261%5C%5C%20%5C%3A%5C%3A4%26-3%262%26-8%5Cend%7Bpmatrix%7D%20" /> = 7X = ∆1 / ∆ = - 42 / 21 = - 2

Y = ∆2 / ∆ = 21 / 21 = 1 Z = ∆3 / ∆ = 42 / 21 = 2T = ∆4 / ∆ = 7 / 21 = 1 / 3.