Solve {l}{(x+y)*(x+y+2)=72}{(y+z)*(x+y+z)=120}{(x+y)*(x+y+z)=96}

$$\left\{ \begin{array} { l } { ( x + y ) \cdot ( x + y + 2 ) = 72 } \\ { ( y + z ) \cdot ( x + y + z ) = 120 } \\ { ( x + y ) \cdot ( x + y + z ) = 96 } \end{array} \right.$$

Solve for x, y, z

$$x=-t_{1744830465}-\frac{13\sqrt{73}}{12}+\frac{19}{12}\text{, }y=t_{1744830465}+\frac{\sqrt{73}}{12}-\frac{31}{12}\text{, }z=-t_{1744830465}-\frac{4\sqrt{73}}{3}+\frac{4}{3}$$

$$x=-t_{1744830465}+\frac{13\sqrt{73}}{12}+\frac{19}{12}\text{, }y=t_{1744830465}-\frac{\sqrt{73}}{12}-\frac{31}{12}\text{, }z=-t_{1744830465}+\frac{4\sqrt{73}}{3}+\frac{4}{3}$$