Question 163524
YOU SURE GOT THE FIRST STEP CORRECT!!!!!!

Multiply each side by (r+s) and we get:

q(r+s)=rs get rid of parens (distributive law)
qr+qs=rs  subtract qr from each side

qr-qr+qs=rs-qr  collect like terms
qs=r(s-q)  (distributive law)
divide each side by (s-q)

r=qs/(s-q)--------------------------------ans

CK
q=rs/(r+s)
q=(qs/(s-q))s/((qs/(s-q))+s=
q=(qs^2/(s-q))/(qs+s(s-q))/(s-q)=
q=qs^2/(qs+s^2-qs)=qs^2/s^2
q=q

Hope this helps---ptaylor