Question

([x]+{y}=-5.31 sistem
([y]+{x}=2.7

Answer 1

Răspuns:

x=-5,3

y=2,69

Explicație pas cu pas:

aplicam [....] si apoi{..}  ambelor expresii

si apoi folosim prioprietatilev cunoscute

[[x]+{y}]=[x]=[-5.31]=-6

{[x]+{y}]={y}={-5.31}=0,69

[[y]+{x}]=[y]=[2,7]=2

{[y]+{x}}={x}=[2,7}=0,7

x=[x]+{x}=-6+0,7= -5,3

y=[y]+{y}=2+0,69=2,69

verificare

-6+0,69=-5,31

2+0,7=2,7

se verifica amandoua deci e BINE rezolvat

Answer 2

$\it Adun\breve am\ \ ecua\c{\it t}iile:\\ \\ \[[x]+\{y\}+\[[y]+\{x\}=-5,31+2,7 \Rightarrow x+y=-2,61\ \ \ \ \ (*)\\ \\ \[[x]+\{y\}=-5,31 \Rightarrow \[[x]+\{y\}=-6+0,69 \Rightarrow \[[x]=-6,\ \ \{y\}=0,69\\ \\ \[[y]+\{x\}=2,7 \Rightarrow \[[y]+\{x\}=2+0,7 \Rightarrow \[[y]=2,\ \ \{x\}=0,7$

$\it x= \[[x]+\{x\}=-6+0,7 \Rightarrow x=-5,3\\ \\ y= \[[y]+\{y\}=2+0,69 \Rightarrow y=2,69\\ \\ \\ x+y=-5,3+2,69=-2,61,\ care\ confirm\breve a\ rela\c{\it t}ia\ \ (*)$