I'm working on a physics lab that is trying to derive a specific equation by using other equations but I'm having problems...
Heres the question:
Derive ρk = ρg + (ρl - ρg) fk
ml + mg = mk
vg + vl = vk
mg = ρg*vg
ml = ρl*vl
mk = ρk*vk
vg = (1-fk)vk
so I first tried to simplify the first equation by putting every value in terms of m and v but I hit a wall
so looking at this I can make it look a little more pleasant by turing this into a four variable equation if this could help
mg=x ml=y vg=z vl=n
I've tried seperating it in several ways with no luck the closest I've gotten is (assuming I didn't mess up)
Can I simplify this any farther or is there a step that I messed up fully?