$$ \frac { - r } { \Xi - r } = ص $$

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$$ r = \frac{ص\Xi}{-1 + ص} $$ To solve the equation $$ \frac{-r}{\Xi - r} = ص, $$ we can start by cross-multiplying to eliminate the fraction: $$ -r = ص(\Xi - r). $$ Expanding the right side gives: $$ -r = ص\Xi - صr. $$ Next, we can rearrange the equation to isolate terms involving $$ r $$: $$ -r + صr = ص\Xi. $$ Factoring out $$ r $$ from the left side: $$ r(-1 + ص) = ص\Xi. $$ Now, we can solve for $$ r $$: $$ r = \frac{ص\Xi}{-1 + ص}. $$ This is the expression for $$ r $$ in terms of $$ \Xi $$ and $$ ص $$.

\( \frac { - r } { \Xi - r } = ص \)

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\( \frac { - r } { \Xi - r } = ص \)

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