Question

Sistema de equação
X - y = 2
X - z =3
X + y + z =4

Answer 1

Pela Regra de Cramer

                   $x = \frac{Dx}{D} \\ \\ y= \frac{Dy}{D} \\ \\ z= \frac{Dz}{D}$

                   $D= \left[\begin{array}{ccc}1&-1&0\\1&0&-1\\1&1&2\end{array}\right] =4$

                   $Dx= \left[\begin{array}{ccc}2&-1&0\\3&0&-1\\4&1&2\end{array}\right] =12$

                   $Dy= \left[\begin{array}{ccc}1&2&0\\1&3&-1\\1&4&2\end{array}\right] =4$

                   $Dz= \left[\begin{array}{ccc}1&-1&2\\1&0&3\\1&1&4\end{array}\right] =0$

                              $x= \frac{12}{4} =3 \\ \\ y= \frac{4}{4} = 1 \\ \\ z= \frac{0}{4} =0$