Question

Rearrange this equation to isolate c

a=b(1/c - 1/d)

Answer 1

So what would be your first step?

Answer 2

distribute the b
a=b(1/c)+b(-1/d)
a=b/c-b/d
a+b/d=b/c
I am having trouble with how do you get the c isolated from there

Answer 3

Ok, you can do that. Divide now both sides by b and you have
\[ \frac{1}{c} = \frac{a}{b} + \frac{1}{d} = \frac{ad + b}{bd} \]

Now can you find c?

Answer 4

would it be c=bd/ad+b

Answer 5

Yes, be careful with brackets though
c = bd / (ad+b)

Answer 6

ok thank you so much!