Reprise Example RES by creating a new version of the vector $\vect{y}$. In other words, form a new, different linear combination of the vectors in $R$ to create a new vector $\vect{y}$ (but do not simplify the problem too much by choosing any of the five new scalars to be zero). Then express this new $\vect{y}$ as a combination of the vectors in $P$.