Question #66789

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Answer 1 · 2017-01-16T01:58:28

$y=(4+m)/(5+m) => m=(4-5y)/(y-1)$

$y=(4+m)/(5+m)$ Our original expression

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$y(5+m)=4+m$ Divide both sides by 5+m

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$5y+my=4+m$ Distribute y

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$5y+my-m=4$ Subtract m from both sides

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$my-m=4-5y$ Subtract 5y from both sides

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$m(y-1)=4-5y$ Factor for m on the left side

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$m=(4-5y)/(y-1)$

Divide both sides by y-1 leaving the rearrangement for m