Question

2x - 3y + 2z = 8 = 3x + 4y - z= 10 x + y + z = 14
ayuda ​

Answer 1

Explicación paso a paso:

(1) 2x-3y+2z=8

(2) 3x+4y-z=10

(3) x+y+z=14

De las ecuaciones (1) y (2)

3*(2x-3y+2z=8); 6x-9y+6z=24

-2*(3x+4y+z=10); -6x-8y-2z=-20

- - - - - - - - - - - - - -

0-17y+4z=4; 4z=4+17y; z=4+17y/4

(1) 2x-3y+2z=8; 2x-3y+2z=8

(3) -2*(x+y+z=14); - 2x-2y-2z=-28

-------------------------

0-5y. =-20; y=-20/-5=4

Z=4+17*4/4=4+68/4=72/4=36/2=18; z=18

X=14-4-18=-8

Solución x=-8; y=4; z=18