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| Math Central | Quandaries & Queries |
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Question from Jamal: 1/x + 1/y =5 and 1/y - 1/x =-1 |
Hi Jamal,
Since
\[\frac{1}{x} + \frac{1}{y} = 5 \mbox{ and } \frac{1}{y} - \frac{1}{x} = -1\]
we know that
\[\left( \frac{1}{x} + \frac{1}{y} \right) + \left( \frac{1}{y} - \frac{1}{x}\right) = (5) + (- 1).\]
Simplify and solve for $y.$
Penny
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