[tex]x+y=10[/tex]
[tex]xy=yx+36[/tex] sper ca ti s-a predat descompunerea in baza 10
[tex] \left \{ {{x+y=10} \atop {10x+y=10y+x+36}} \right. [/tex]
[tex] \left \{ {{x+y=10} \atop {9 x-9 y=-36}} \right. [/tex]
[tex] \left \{ {{x+y=10} \atop {x-y=-4}} \right. [/tex]
Aduni cele 2 ecuatii si obtii:
[tex]2x=6=\ \textgreater \ x=3[/tex]
[tex]x+y=10=\ \textgreater \ 3+y=10=\ \textgreater \ y=7[/tex]
