Question

Consideram sistemul $\left \{ {{2x+y+z=4} \atop {x+3y+2z=6}} \right.$ Determinati solutia sistemului care verifica conditia x=y.

Answer 1

Răspuns:

(1,1,1)

Explicație pas cu pas:

$\left \{ {{2x+y+z=4} \atop {x+3y+2z=6}} \right. ~x=y,~atunci~\left \{ {{3x+z=4} \atop {4x+2z=6}} \right.~ impartim~la~2~a~doua~ecuatie,~\left \{ {{3x+z=4} \atop {2x+z=3}} \right,~scadem~ecuatiile$

x=1, y=1, z=1.