Question

Solve the following systems of equations:

$$\begin{gathered} \frac{2}{3x+2y}+\frac{3}{3x-2y}=\frac{17}{5} \\ \frac{5}{3x+2y}+\frac{1}{3x-2y}=2 \end{gathered}$$

Answer 1

The given equations are:

Let and then equations are

…

…

Multiply equation by and subtract (ii) from (i), 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 .