Chapter 14.7, Problem 1QCE

Let T be the transformation from the $u\upsilon \text{-plane}$ to the xy-plane defined by the equations $x=u-2\upsilon ,y=3u+\upsilon$

(a) Sketch the image under T of the rectangle $1\le u\le 3,0\le \upsilon \le 2.$

(b) Solve for $u\text{and}\upsilon$ in terms of x and y: $u=\text{\_\_\_\_\_,}\upsilon =\text{\_\_\_\_\_}$