Solve the simultaneous equations \[\frac{x}{3} - \frac{y}{10} = \frac{5}{6}, \quad x(y-2) = 2y + 3.\]

One way we could approach this problem is by substituting one equation into the other. How could we do this?

Perhaps, though, we could make our lives easier by making the first equation look more like the second one, as the second equation only has one \(x\) in it?

Whatever we do, it might be nice to get rid of some of these fractions before we go too far!