Question

DOY CORONA, MUCHAS GRACIAS

Answer 1

2x - y + 2z = 7

-2x + 2y - z = -6

-4x + 3y - 2x = -9

$\begin{bmatrix}2x-y+2z=7\\ -2x+2y-z=-6\\ -4x+3y-2x=-9\end{bmatrix}$

Despejamos X:

$\begin{bmatrix}2\cdot \frac{y+3}{2}-y+2z=7\\ -2\cdot \frac{y+3}{2}+2y-z=-6\end{bmatrix}$

Simplificamos:

$\begin{bmatrix}2\cdot \frac{y+3}{2}-y+2z=7\\ -2\cdot \frac{y+3}{2}+2y-z=-6\end{bmatrix}$

Despejamos Z:

$\begin{bmatrix}y-2-3=-6\end{bmatrix}$

Simplificamos:

$\begin{bmatrix}y-5=-6\end{bmatrix}$

Despejamos Y:

$x=\frac{-1+3}{2}$

Simplificamos:

$x=1$

Resultado:

$\boxed{X=1} \boxed{Z=2} \boxed{Y=-1}$