Answer:
Let's solve for f.
4
r
+
8
f
=
5
g
Step 1: Multiply both sides by fr.
4f+8r=
5fr
g
Step 2: Multiply both sides by g.
4fg+8gr=5fr
Step 3: Add -5fr to both sides.
4fg+8gr+−5fr=5fr+−5fr
4fg−5fr+8gr=0
Step 4: Add -8gr to both sides.
4fg−5fr+8gr+−8gr=0+−8gr
4fg−5fr=−8gr
Step 5: Factor out variable f.
f(4g−5r)=−8gr
Step 6: Divide both sides by 4g-5r.
f(4g−5r)
4g−5r
=
−8gr
4g−5r
f=
−8gr
4g−5r
Answer:
f=−8gr4g−5r
