x=8-y}} \right\\(8-y)^2+y^2=48\\64-16y+y^2+y^2=48\\2y^2-16y+16=0|:2\\y^2-8y+8=0\\y_{1,2}=\frac{4^+_-\sqrt{16-8}}{1}\\y_1=4+2\sqrt2\ ;y_2=4-2\sqrt2\\x_1=4-2\sqrt2\ ;x_2=4+2\sqrt2\\" alt="\left \{ {{x^2+y^2=48} \atop {x+y=8=>x=8-y}} \right\\(8-y)^2+y^2=48\\64-16y+y^2+y^2=48\\2y^2-16y+16=0|:2\\y^2-8y+8=0\\y_{1,2}=\frac{4^+_-\sqrt{16-8}}{1}\\y_1=4+2\sqrt2\ ;y_2=4-2\sqrt2\\x_1=4-2\sqrt2\ ;x_2=4+2\sqrt2\\" align="absmiddle" class="latex-formula">
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