Suppose that real numbers x,y and z satisfy the following equations:\begin{align*}
x+\frac{y}{z} &=2,\\
y+\frac{z}{x} &=2,\\
z+\frac{x}{y} &=2.
\end{align*}Show that s=x+y+z must be equal to 3 or 7.Note: It is not required to show the existence of such numbers x,y,z. algebrasystem of equations