Question #66789

1 Answer
Jan 16, 2017

Answer:

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

Explanation:

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

#<=>#

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

#<=>#

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

#<=>#

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

#<=>#

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

#<=>#

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

#<=>#

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

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