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

Multiple Choice

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

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