SEARCH HOME
 Math Central Quandaries & Queries
 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

Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.