How do you solve $5/(r - 9) = 8/(r + 5)$ ?

Jan 4, 2016

$r=97/3$

You can either multiply both sides by $(r-9)(r+5)$ or simply cross-multiply to arrive at the next step:

$5(r+5)=8(r-9)$

From here, distribute and solve.

$5r+25=8r-72$

$97=3r$

$r=97/3$

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How do you solve 5/(r - 9) = 8/(r + 5)5/(r - 9) = 8/(r + 5)?