Question

Solve the following systems of equations:

$$\begin{gathered} \frac{44}{x+y}+\frac{30}{x-y}=10 \\ \frac{55}{x+y}+\frac{40}{x-y}=13 \end{gathered}$$

Answer 1

The given equations are:

Let and then equations are

…

…

Multiply equation by and equation by add both equations, we get

Put the value of in equation, we get

Then

…

…

Add both equations, we get

Put the value of in equation we get

Hence the value of and