SOLUTION: 1/x+1/a=1/b then x=

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Question 207785: 1/x+1/a=1/b then x=
Answer by jim_thompson5910(21685) About Me  (Show Source):
You can put this solution on YOUR website!
1%2Fx%2B1%2Fa=1%2Fb Start with the given equation.


cross%28x%29ab%281%2Fcross%28x%29%29%2Bx%2Across%28a%29b%281%2Fcross%28a%29%29=xa%2Across%28b%29%281%2Fcross%28b%29%29 Multiply EVERY term by the LCD xab to clear out the fractions.


ab%2Bxb=xa Simplify


ab=xa-xb Subtract xb from both sides.


ab=x%28a-b%29 Factor out the GCF 'x'


%28ab%29%2F%28a-b%29=x Divide both sides by a-b.


x=%28ab%29%2F%28a-b%29 Rearrange the equation.


So the solution is x=%28ab%29%2F%28a-b%29