[tex]x * y = 96\\
y * z = 216\\
x + 1 = z/2 ==\ \textgreater \ x=z/2-1\\ [/tex]
Inlocuim in prima relatie pe x:
[tex](z/2-1) * y = 96\\ y = 96/(z/2-1)\\[/tex]
Acum inlocuim in a doua relatie pe y:
[tex] \frac{96}{ \frac{z}{2}-1 } *z=216\\
\frac{96}{ \frac{z-2}{2} } *z=216\\
\frac{2 * 96}{ z-2 } *z=216\\
192z =216(z-2)\\
192z=216z-432\\
24z=432 ==\ \textgreater \ z=18\\ [/tex]
[tex]y * z=216 ==\ \textgreater \ y= \frac{216}{z} = \frac{216}{18}=12\\ [/tex]
[tex]x*y=96 ==\ \textgreater \ x= \frac{96}{y}= \frac{96}{12}=8\\ [/tex]
