SOLUTION: Solve the literal equation for the variable "a". x=(a+b+c)/(ab)

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Question 160177: Solve the literal equation for the variable "a".
x=(a+b+c)/(ab)
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the literal equation for the variable "a".

x=%28a%2Bb%2Bc%29%2F%28ab%29

Multiply both sides by ab to clear of fractions:


%28ab%29x=%28ab%29%28%28a%2Bb%2Bc%29%2F%28ab%29%29


abx=%28cross%28ab%29%29%28%28a%2Bb%2Bc%29%2F%28cross%28ab%29%29%29

abx=a%2Bb%2Bc

Add -a to both sides to get all terms in "a"
and only those terms on the left:

abx-a=b%2Bc

Factor out the "a" on the left side:

a%28bx-1%29=b%2Bc

Divide both sides by %28bx-1%29

a%28bx-1%29%2F%28%28bx-1%29%29=%28b%2Bc%29%2F%28%28bx-1%29%29

a%2Across%28%28bx-1%29%29%2F%28cross%28%28bx-1%29%29%29=%28b%2Bc%29%2F%28%28bx-1%29%29

a=%28b%2Bc%29%2F%28%28bx-1%29%29

Might as well erase those parentheses on the bottom:

a=%28b%2Bc%29%2F%28bx-1%29

Edwin