length, width, algebra

Using these algebraic expressions find the length and width of this rectrangle.

\(\begin{cases} 3x+2y-2=4x+y-1\\ 3x-2y+2=2x+y-1\\ \end{cases}\\ \begin{cases} x-y+1=0 ---(1)\\ x-3y+3=0 --- (2)\\ \end{cases}\\ (1)-(2): 2y-2 = 0\\ y = 1 ---(3)\\ \text{Substitute (3) into (1)}\\ x-1+1=0\\ x=0\\ \therefore \begin{cases}x=0\\y=1\end{cases}\)