Question

Solve the following systems of equations:

$$\begin{gathered} \frac{22}{x+y}+\frac{15}{x-y}=5 \\ \frac{55}{x+y}+\frac{45}{x-y}=14 \end{gathered}$$

Answer 1

The given equations are:

Let and then equations are

…

…

Multiply equation by and subtracting (ii) from (i), we get

Put the value of in equation, we get

Then

Add both equations, we get

Put the value of in second equation, we get

Hence the value of and .