Consider the following two systems.
(a) $$\left\{ \begin{array}{ccc} -4 x+ y &=& 3 \\ -3 x+ 5 y &=& -2 \end{array} \right.$$
(b) $$\left\{ \begin{array}{ccc} -4 x+ y &=& 2 \\ -3 x+ 5 y &=& -1 \end{array} \right.$$
(i) Find the inverse of the (common) coefficient matrix of the two systems.

(ii) Find the solutions to the two systems by using the inverse, i.e. by evaluating $A^{-1} B$ where $B$ represents the right hand side (i.e. $B = \left[ \begin{array}{c} 3 \\ -2 \end{array} \right]$ for system (a) and $B = \left[ \begin{array}{c} 2 \\ -1 \end{array} \right]$ for system (b)).
Solution to system (a): $x =$ , $y$ =
Solution to system (b): $x =$ , $y$ =