Question

Solve the following systems of equations:

$$\begin{gathered} \frac{5}{x+1}-\frac{2}{y-1}=\frac{1}{2} \\ \frac{10}{x+1}+\frac{2}{y-1}=\frac{5}{2} \end{gathered}$$

where x ≠ −1 and y ≠ 1

Answer 1

The given equations are:

Let and then equations are

…

…

Add both equations, we get

Put the value of in equation, we get

Then

Hence the value of and .