Solve the System for X and Y Using Cramerʹs 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 Cramerʹs 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) $\left\{ \left( \frac { \mathrm { a } } { \mathrm { b } } , \frac { \mathrm { a } - \mathrm { b } } { \mathrm { b } } \right) \right\}$
D) $\left\{ \left( \frac { b } { a } , \frac { a + b } { b } \right) \right\}$