Question

я очень прошу помогите :((((((

Answer 1

{x²-xy=41
{xy-y²=25
x²-2xy+y²=16
(x-y)²=16=4²
x-y=4
x=(4+y)
(4+y)²-y(4+y)=41
16+8y+y²-4y-y²=41
4y=25
y=$\frac{25}{4 }$
x=4+$\frac{25}{4}$
x=$\frac{(16+25)}{4}$
x=$\frac{41}{4}$
|x-y|=|$\frac{41}{4} - \frac{25}{4} |=| \frac{16}{4} |=4$