[tex]\it |x-5| \geq 0\ \ \ \ \ \ (1)\\ \\ \sqrt{y-7}\ \geq\ 0\ \ \ \ \ (2)\\ \\ |x-5| +\sqrt{y-7} = 0 \stackrel{(1),(2)}{\Longrightarrow}\ \begin{cases}\it |x-5|=0\Rightarrow x-5= 0\Rightarrow x=5\\ \\ \it \sqrt{y-7}=0\Rightarrow y-7=0 \Rightarrow y=7\end{cases}[/tex]