SOLUTION: how do you do this problem? 1/a + 2/b = 3/c Solve for b. I have tired my brain out trying to solve this problem!! Thanks!!

Question 51395: how do you do this problem? 1/a + 2/b = 3/c Solve for b. I have tired my brain out trying to solve this problem!! Thanks!!
Found 2 solutions by Earlsdon, rchill:
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Ok. give your brain a rest and let's see what can be done with this:
Solve:
for b. First, subtract from both sides.
Now combine the two fractions on right side.
Next, multiply both sides by ac
Then multiply both sides by b
Finally, divide both sides by (3a-c)

So,
Answer by rchill(405) (Show Source): You can put this solution on YOUR website!
You need to isolate b to solve for b. To do this, because the left side of the equation is addition, you need to subtract from both sides of the equation. The equation becomes , which reduces down to . Now that b has been isolated to itself on the left side of the equation (i.e., ), and because is the same as saying , we can cross multiply. This means we multiply the left side numerator (i.e., 2) by the right side denominator (i.e., 1) and set that equal to the left side denominator (i.e., b) multiplied by the right side numerator (i.e., ). The new equation becomes , which simplifies to . Dividing both sides by produces . This equation simplifies to , and thus is the answer. To check our answer, we substitute it into the original equation for b, producing . Now subtract from both sides, producing . Now multiply both sides by and you'll get 2=2, which is a true statement, and that means our answer is correct.
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