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

Multiple Choice

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

A) $\left\{ \left( a ^ { 2 } + 2 a b + b ^ { 2 } , - b - a \right) \right\}$
B) $\left\{ \left( a ^ { 2 } + a b + b ^ { 2 } , - b - a \right) \right\}$
C) $\left\{ \left( a ^ { 2 } + a b + b ^ { 2 } , a + b \right) \right\}$
D) $\left\{ \left( a ^ { 2 } + 2 a b + b ^ { 2 } , b - a \right) \right\}$