por favor ayudenme a resolver la siguiente ecuacion con tres variables.... por favor es una nota qla necesito de ello depende el area xfavor
7x+4y+2z=51
12x+3y+2z=73
15x+5y+4z=98
Respuestas a la pregunta
Contestado por
2
Huagar,
Vamos a aplicar el método de Cramer
x = Dx/D y = Cy/D z = Dz/D
Dx, Dy, Dz son los determinates de cada variable
D el terminate del sistema
![D= \left[\begin{array}{ccc}7&4&2\\12&3&2\\15&5&4\end{array}\right] =14 \\ \\ Dx= \left[\begin{array}{ccc}5&4&2\\73&3&2\\98&5&4\end{array}\right] =-232 \\ \\ Dy= \left[\begin{array}{ccc}7&5&2\\12&73&2\\15&98&4\end{array}\right] =744 \\ \\ Dz= \left[\begin{array}{ccc}7&4&5\\12&3&73\\15&5&98\end{array}\right] =-746](https://tex.z-dn.net/?f=+D%3D+%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D7%26amp%3B4%26amp%3B2%5C%5C12%26amp%3B3%26amp%3B2%5C%5C15%26amp%3B5%26amp%3B4%5Cend%7Barray%7D%5Cright%5D+%3D14+%5C%5C++%5C%5C+Dx%3D++%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D5%26amp%3B4%26amp%3B2%5C%5C73%26amp%3B3%26amp%3B2%5C%5C98%26amp%3B5%26amp%3B4%5Cend%7Barray%7D%5Cright%5D+%3D-232+%5C%5C++%5C%5C+Dy%3D++++%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D7%26amp%3B5%26amp%3B2%5C%5C12%26amp%3B73%26amp%3B2%5C%5C15%26amp%3B98%26amp%3B4%5Cend%7Barray%7D%5Cright%5D+%3D744+%5C%5C++%5C%5C+Dz%3D++%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D7%26amp%3B4%26amp%3B5%5C%5C12%26amp%3B3%26amp%3B73%5C%5C15%26amp%3B5%26amp%3B98%5Cend%7Barray%7D%5Cright%5D+%3D-746 "D= \left[\begin{array}{ccc}7&4&2\\12&3&2\\15&5&4\end{array}\right] =14 \\ \\ Dx= \left[\begin{array}{ccc}5&4&2\\73&3&2\\98&5&4\end{array}\right] =-232 \\ \\ Dy= \left[\begin{array}{ccc}7&5&2\\12&73&2\\15&98&4\end{array}\right] =744 \\ \\ Dz= \left[\begin{array}{ccc}7&4&5\\12&3&73\\15&5&98\end{array}\right] =-746")
x = - 116/7 (-232/14 = 116/7)
y = 372/7 (744/14 = 372/7)
z = - 373/7 (- 746/14 = 373/7)
Vamos a aplicar el método de Cramer
x = Dx/D y = Cy/D z = Dz/D
Dx, Dy, Dz son los determinates de cada variable
D el terminate del sistema
x = - 116/7 (-232/14 = 116/7)
y = 372/7 (744/14 = 372/7)
z = - 373/7 (- 746/14 = 373/7)
Otras preguntas