I'm trying to solve the following set of equations, I'm trying to work out how to put them into matrix form to solve, but I can't see how to.
You can't put them into matrix form because they are not linear equations.
But you can do a lot to simplify them. For start, the last equation just says that . So it follows from the first two equations that . Multiply out those fractions, substitute (from the third equation), and you'll have a quadratic equation for . Once you know , you can substitute back and find the other unknowns quite easily.