SOLUTION: 1/x = 1/r + 1/s Make r the subject Please have explanation with steps

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Question 1029589: 1/x = 1/r + 1/s
Make r the subject
Please have explanation with steps
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+1%2Fx++=+1%2Fr+%2B+1%2Fs+
Multiply both sides by +x%2Ar%2As+


+%28+r%2As+%29%2A1+=+%28+x%2As+%29%2A1+%2B+%28+x%2Ar+%29%2A1+
Anything times +1+ is the quantity itself,
so you don't need the 1's
+r%2As+=+x%2As+%2B+x%2Ar+
Subtract +x%2Ar+ from both sides
+r%2As+-+x%2Ar+=+x%2As+
Factor out +r+ on the left side
+r%2A%28+s+-+x+%29+=+x%2As+
Divide both sides by +s+-+x+
+r+=+x%2As+%2F+%28+s+-+x+%29+
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You can go 1 step further, but it's not necessary
Divide both top and bottom of the right side by +s+
+r+=+x+%2F+%28+1+-+x%2Fs+%29+
Hope this helps