Solve the System for X and Y Using Cramer's Rule $$\begin{array} { l } x + b y = a ^ { 2 } \\a x + y = b ^ { 2 }\end{array}$$

Multiple Choice

Solve the system for x and y using Cramer's rule. Assume a and b are nonzero constants.
- $$\begin{array} { l } x + b y = a ^ { 2 } \\a x + y = b ^ { 2 }\end{array}$$

A) $\left\{ \left( - \frac { a ^ { 2 } - b ^ { 3 } } { a b } , - \frac { b ^ { 2 } - a ^ { 3 } } { a b } \right) \right\}$

B) $\left\{ \left\{ \frac { a ^ { 2 } - b ^ { 3 } } { a + b } , \frac { a ^ { 2 } - b ^ { 3 } } { a + b } \right) \right\}$

C) $\left\{ \left\{ \frac { \mathrm { b } ^ { 3 } } { 1 - \mathrm { ab } } , \frac { \mathrm { a } ^ { 3 } } { 1 - \mathrm { ab } } \right) \right\}$

D) $\left\{ \left\{ \frac { a ^ { 2 } - b ^ { 3 } } { 1 - a b } , \frac { b ^ { 2 } - a ^ { 3 } } { 1 - a b } \right) \right\}$