Question

Please help i need to see this worked out. It confuses me. 1/x+1/a=1/b a does not =b solve for x

Answer 1

\[x=(ab)/(a+b)\]

Answer 2

how did you get the answer

Answer 3

Here's how:
1/x=1/b -1/a
1/x=a/ab-b/ab (common denominator)
1/x=(a-b)/ab (combine terms)
x=1b/(a-b) (take reciprocals 0f both sides)

Answer 4

thanks

Answer 5

The last line should be \[ab/(a-b)\]