Hi,

x - y = 5   0r  x = 

x^2 + y^2 = 233

(y+5)^2 + y^2 = 233

 2y^2 + 10y + 25 = 233

2y^2 + 10y - 208+ 0

 y^2 + 5y - 104 = 0

(y +  13)(y - 8) = 0   (Tossing out the negative solution )

       y = 8  and x = 13

CHECKING our answer***

169 + 64 = 233

Wish You the Best in your Studies.

 

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