[tex]\left\{\begin{array}{l}x-y=95\\\sqrt{x}+\sqrt{y}=19\\\end{array} \right.\\\\\\\left\{\begin{array}{l}x=95+y\\\sqrt{x}+\sqrt{y}=19\\\end{array} \right.\\[/tex]
Podstawiamy wartość x:
[tex]\sqrt{95+y}+\sqrt{y}=19\\\\\sqrt{95+y}=19-\sqrt{y}~~~~~~|()^{2}\\\\95+y=361-38\sqrt{y}+y\\\\95=361-38\sqrt{y}\\\\95+38\sqrt{y}=361\\\\38\sqrt{y}=361-95\\\\38\sqrt{y}=266\\\\\sqrt{y}=7\\\\y=49[/tex]
Podstawiamy wartość y:
[tex]x=95+49\\\\x=144[/tex]
ODP.: [tex]x=\boxed{144}~~~~~~~~~~~~~~~y=\boxed{49}[/tex]
