Answer
$$w= 2v-u$$$$x=2v-2u$$ $$y=3.5v-2u$$ $$ z=4v-3u$$
Work Step by Step
Using the graph given in the textbook, follow the dotted grid lines to each point, w-z.
For example, to get to point w, we could either go to the right two times (in the positive v direction) and down one time (in the negative u direction), or we could go down once (in the negative u direction) and then right two times (in the positive v direction).
Either sequence yields that $$w=2v-u$$
Use this same strategy, following the grid lines, to find x-z:
$$x=2v-2u$$ $$y=3.5v-2u$$ $$ z=4v-3u$$