Make r the subject of the relation y = (x-r)/(x+r)

Icyfire asked Oct 24, 2023

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1 vote

Make r the subject of the relation y =
(x-r)/(x+r)

Icyfire asked Oct 24, 2023

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18 votes

$y=(x-r)/(x+r)\\\\y(x+r)=x-r\\xy+ry=x-r\\ry+r=x-xy\\r(y+1)=x-xy\\r=(x-xy)/(y+1)$

Nirbhaygp answered Oct 30, 2023

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