Verified Answer :

A=hb+hc
isolate c by subtracting both sides by hb
hc=A-hb
divide by h on both sides
c=\(\frac{A-hb}{h}\)
or
c=\(\frac{A}{h}\)-b

A=h(b+c) solve for c


First, multiply h to b and c


A = hb + hc


Then, transfer hb to the other
side and change its sign from positive to negative.


A – hb = hc


To get c, Divide both sides by h


(A – hb)/h = hc/h


(A - hb)/h = c  OR c = (A – hb)/h



Example. Let us assume the following.

A = 500 ; h= 10;b= 20; c= ?


c = (A – hb)/h


c = (500 – (10*20))/10


c = (500 – 200)/10


c =  300/10


c = 30


To check; use the original
equation given.


A = h(b+c)


A = 10(20+30)


A = 200 + 300


A = 500. same as the figure given in the example.