SOLUTION: what are the steps to solving a=bc/b+c for b

Question 252752: what are the steps to solving a=bc/b+c for b
Found 3 solutions by ankor@dixie-net.com, dabanfield, rapaljer:
Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
what are the steps to solving a=bc/b+c for b
:
a =
Multiply both sides by (b+c)
a(b+c) = bc
ab + ac = bc
Subtract ab from both sides
ac = bc - ab
Factor out b
ac = b(c - a)
Divide both sides by (c-a)
= b
Answer by dabanfield(803)   (Show Source): You can put this solution on YOUR website!
what are the steps to solving a=bc/b+c for b

Multiply both sides by (b+c):
a*(b+c) = bc
divide both sides by c:
(a*(b+c))/ c = b or
(ab*ac)/c = b
Answer by rapaljer(4671)   (Show Source): You can put this solution on YOUR website!
First clear the fraction by multiplying both sides by b+c:

Now, to solve for b, you have to get all the "b" terms on one side. There are two ways to do this that give slightly different but both equivalent answers. I recommend that you get the ab term to the right side by subtracting ab from each side:

The next step is to get the "b" in one place, by factoring the b on the right side:

Finally, divide both sides by (c-a):

If you would like additional explanation of this topic, see my own website by clicking on my tutor name "Rapaljer" anywhere in algebra.com. From this, click on my website, which is given to you. On the Homepage of my website, look for the link near the top of the page "Basic, Intermediate, and College Algebra: One Step at a Time". Click on "Basic Algebra", then look in "Chapter 3" for "Section 3.07 Literal Equations."

This is my own curriculum that was written especially for students who have trouble understanding the traditional textbooks. If you need help with most any topic in algebra, I have something you may want to see on these pages. It's all free. Let me know if you like it. My own students did!!

Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus
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