Hello Emeka.

You have one equation with two variables, so I'm not sure what you are being asked to do with this equation, except perhaps to put it into a general form.

I'm presuming you meant to write:

6/(x-2y) - 15/(x+y) = 0.5

but you forgot the parentheses.

If you multiply both sides by (2)(x-2y)(x+y), you will quickly get an equation that you can rearrange into the form:

Ax² + Bxy + Cy² + Dx + Ey + F = 0

Where A, B, C, D, E and F are all integers. This is probably what your question is requesting you to do.

Hope this helps you,
Stephen La Rocque.