Question

If, $\frac{1}{\mathrm{x}}+\frac{1}{\mathrm{y}}=\mathrm{k}$ and $\frac{1}{\mathrm{x}}-\frac{1}{\mathrm{y}}=\mathrm{k}$, then the value of $\mathrm{y}$ _____

Answer 1

Solving for $\mathrm{y}$

Let us consider the following equations

$\frac{1}{\mathrm{x}}+\frac{1}{\mathrm{y}}=\mathrm{k}$ $...\left(\mathrm{i}\right)$

$\frac{1}{\mathrm{x}}-\frac{1}{\mathrm{y}}=\mathrm{k}$ $...\left(\mathrm{ii}\right)$

Subtracting equation $\left(\mathrm{ii}\right)$ from equation $\left(\mathrm{i}\right)$ we get

$\frac{2}{\mathrm{y}}=0$ which is not possible.

Therefore, value of $\mathrm{y}$ does not exist.