SOLUTION: If 1/x + 1/a = 1/b then what is x

Question 118229: If 1/x + 1/a = 1/b then what is x
Found 2 solutions by MathLover1, jim_thompson5910:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
If then what is
..........multiply both sides by

......move to the rght and to the left
......
......
......

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation

Subtract from both sides

Multiply by . Multiply by .

Multiply.

Combine the fractions.

Cross multiply

Divide both sides by

So our answer is

note: the previous answer is equivalent to

Start with any answer (I chose the previous answer)

Factor a -1 out of the numerator

Factor a -1 out of the denominator

Rearrange the terms

Divide and cancel out the "-1" terms

Simplify

So this shows that which means either answer will work.
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