{x + y = 1, y + z = - 1, x + z = - 6 metodos porfavor?
{x + y = 1, y + z = - 1, x + z = - 6 metodos porfavor.
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Respuesta : <img src="https://tex.z-dn.net/?f=x%3D%5Cfrac%7B%5CDelta%20x%7D%7B%5CDelta%7D%20%3D%5Cfrac%7B-4%7D%7B2%7D%3D-2" /><img src="https://tex.z-dn.net/?f=y%3D%5Cfrac%7B%5CDelta%20y%7D%7B%5CDelta%7D%20%3D%5Cfrac%7B6%7D%7B2%7D%3D3" /><img src="https://tex.z-dn.net/?
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Respuesta : <img src="https://tex.z-dn.net/?f=x%3D%5Cfrac%7B%5CDelta%20x%7D%7B%5CDelta%7D%20%3D%5Cfrac%7B-4%7D%7B2%7D%3D-2" /><img src="https://tex.z-dn.net/?f=y%3D%5Cfrac%7B%5CDelta%20y%7D%7B%5CDelta%7D%20%3D%5Cfrac%7B6%7D%7B2%7D%3D3" /><img src="https://tex.z-dn.net/?f=z%3D%5Cfrac%7B%5CDelta%20z%7D%7B%5CDelta%7D%20%3D%5Cfrac%7B-8%7D%7B2%7D%3D-4" />Explicación paso a paso : Por la regla de Cramer o de Determinantes ; <img src="https://tex.z-dn.net/?f=1x%2B1y%2B0z%3D1%5C%5C0x%2B1y%2B1z%3D-1%5C%5C1x%2B0y%2B1z%3D-6" />el Δ (delta) de las incógnitas es : <img src="https://tex.z-dn.net/?f=%5CDelta%3D%5Cleft%7C%5Cbegin%7Barray%7D%7Bccc%7D1%261%260%5C%5C0%261%261%5C%5C1%260%261%5Cend%7Barray%7D%5Cright%7C" />para resolver los determinantes copiamos las dos primeras filas y las pegamos abajo de la tercera, y se multiplican en diagonales : <img src="https://tex.z-dn.net/?f=%5CDelta%3D%5Cleft%7C%5Cbegin%7Barray%7D%7Bccc%7D1%261%260%5C%5C0%261%261%5C%5C1%260%261%5C%5C1%261%260%5C%5C0%261%261%5Cend%7Barray%7D%5Cright%7C%3D%281%2B0%2B1%29-%280%2B0%2B0%29%3D2" /><img src="https://tex.z-dn.net/?f=%5CDelta%20x%3D%5Cleft%7C%5Cbegin%7Barray%7D%7Bccc%7D1%261%260%5C%5C-1%261%261%5C%5C-6%260%261%5C%5C1%261%260%5C%5C-1%261%261%5Cend%7Barray%7D%5Cright%7C%3D%281%2B0-6%29-%28-1%2B0%2B0%29%3D-5%2B1%3D-4" /><img src="https://tex.z-dn.net/?f=%5CDelta%20y%3D%5Cleft%7C%5Cbegin%7Barray%7D%7Bccc%7D1%261%260%5C%5C0%26-1%261%5C%5C1%26-6%261%5C%5C1%261%260%5C%5C0%26-1%261%5Cend%7Barray%7D%5Cright%7C%3D%28-1%2B0%2B1%29-%280-6%2B0%29%3D0%2B6%3D6" /><img src="https://tex.z-dn.net/?f=%5CDelta%20z%3D%5Cleft%7C%5Cbegin%7Barray%7D%7Bccc%7D1%261%261%5C%5C0%261%26-1%5C%5C1%260%26-6%5C%5C1%261%261%5C%5C0%261%26-1%5Cend%7Barray%7D%5Cright%7C%3D%28-6%2B0-1%29-%280%2B0%2B1%29%3D-7-1%3D-8" /><img src="https://tex.z-dn.net/?f=x%3D%5Cfrac%7B%5CDelta%20x%7D%7B%5CDelta%7D%20%3D%5Cfrac%7B-4%7D%7B2%7D%3D-2" />[img = 10][img = 11].
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Respuesta 2
Respuesta : x = - 2, y = 3, z = - 4Explicación paso a paso : x + y = 1 .
(a)y + z = - 1 .
(b)x + z = - 6 .
(c)Utilizar método de sustitución en (b) : y + z = - 1y = - z - 1Reemplazar en (a) : x + y = 1x + ( - z - 1) = 1x - z - 1 = 1x - z = 1 + 1x - z = 2 .
(d)Utilizar método de reducción : Al sumar (c) y (d) : x + z = - 6 x - z = 2 - - - - - - - - - - - - - - - - - - 2x = - 4x = - 4 / 2x = - 2Reemplazar en (a) : x + y = 1 - 2 + y = 1y = 1 + 2y = 3Reemplazar en (b) : y + z = - 13 + z = - 1z = - 1 - 3z = - 4.