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Rezolvati sistemulde ecuatii:
{x+2y=8
{2x-y=8


Răspuns :

x=8-2y
2(8-2y)-y=8

x=8-2y
16-5y=8

x=8-2y
-5y=-8

x=8-2y
y=1,6

x=4,8
y=1,6
[tex] \left \{ {{x+2y=8|(-2)} \atop {2x-y=8|(+1)}} \right. =\ \textgreater \ \left \{ {{-2x-4x=-16} \atop {2x-y=8}} \right. \\ ~~~~~~~~~~~~~~~~~~~~~~~~~-------\\ ~~~~~~~~~~~~~~~~~~~~~~~~~-5y=-8=\ \textgreater \ y= \frac{8}{5} =\ \textgreater \ y=1,6\\\\ ~~~~~~~~~~~~~~~~~~~~~~~~~x+2*1,6=8=\ \textgreater \ x+3,2=8=\ \textgreater \ x=4,8[/tex]