1. Find all pairs of values of \(x\) and \(y\) for which \[\begin{equation*} \frac{3x+y+1}{8} = \frac{x-y}{5} = \frac{x^2 - y^2}{5}. \end{equation*}\]

I have two equations here with two unknowns. So I seem to be dealing with simultaneous equations, though they have been disguised a little.

  1. Solve the equation \[\begin{equation*} \sqrt{3-3x} - \sqrt{2-x} = 1. \end{equation*}\]

I really don’t like all these square roots. Perhaps squaring will help?