Question

Solve the following systems of equations:

$$\begin{gathered} \frac{1}{2\left(x+2y\right)}+\frac{5}{3\left(3x-2y\right)}=\frac{-3}{2} \\ \frac{5}{4\left(x+2y\right)}-\frac{3}{5\left(3x-2y\right)}=\frac{61}{60} \end{gathered}$$

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 .