MatemáticasBásico1 respuestas

2x - 5y = 134y + z = - 8x - y - z = - 2?

2x - 5y = 13 4y + z = - 8 x - y - z = - 2.

En resumen

Despejando "x" : <img src="https://tex.z-dn.net/?f=2x%20-%205y%3D13%0A" /> <img src="https://tex.z-dn.net/?f=2x%3D%2013%2B5y" /> <img src="https://tex.z-dn.net/?f=x%3D%20%2813%2B5y%29%2F2" /> Despejando "z" : <img src="https://tex.z-dn.net/?

Mejor respuesta

04carolina
1

Despejando "x" :

<img src="https://tex.z-dn.net/?f=2x%20-%205y%3D13%0A" />

<img src="https://tex.z-dn.net/?f=2x%3D%2013%2B5y" />

<img src="https://tex.z-dn.net/?f=x%3D%20%2813%2B5y%29%2F2" />

Despejando "z" :

<img src="https://tex.z-dn.net/?f=4y%2Bz%3D-8" />

<img src="https://tex.z-dn.net/?f=z%3D%20-8-4y" />

Entonces, hallamos el valor de "y" :

<img src="https://tex.z-dn.net/?f=x-y-z%3D%20-2" />

<img src="https://tex.z-dn.net/?f=%5B%2813%2B5y%29%2F2%5D-y-%28-8-4y%29%3D-2" />

<img src="https://tex.z-dn.net/?f=%5B%2813%2B5y%29%2F2%5D-y-%2B8%2B4y%3D-2" />

<img src="https://tex.z-dn.net/?f=%5B%2813%2B5y%29%2F2%5D%2B8%2B3y%3D-2" />

<img src="https://tex.z-dn.net/?f=%2813%2B5y%2B16%2B6y%29%20%2F%202%20%3D-2" />

[img = 10]

[img = 11]

[img = 12]

Obteniendo el valor de "x" :

[img = 13]

[img = 14]

[img = 15]

[img = 16]

Obteniendo elvalor de "z" :

[img = 17]

[img = 18]

[img = 19]

Rpta :

x = - 1

y = - 3

z = 4.