Question #66789

1 Answer
Jan 16, 2017

y=(4+m)/(5+m) => m=(4-5y)/(y-1)y=4+m5+mm=45yy1

Explanation:

y=(4+m)/(5+m)y=4+m5+m Our original expression

<=>

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

<=>

5y+my=4+m5y+my=4+m Distribute y

<=>

5y+my-m=45y+mym=4 Subtract m from both sides

<=>

my-m=4-5ymym=45y Subtract 5y from both sides

<=>

m(y-1)=4-5ym(y1)=45y Factor for m on the left side

<=>

m=(4-5y)/(y-1)m=45yy1

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