Solve the System for X and Y Using Cramer's Rule $$\begin{array} { l } x + \frac { 1 } { a } y = a \\\frac { 1 } { b } x + y = b\end{array}$$

Multiple Choice

Solve the system for x and y using Cramer's rule. Assume a and b are nonzero constants.
- $$\begin{array} { l } x + \frac { 1 } { a } y = a \\\frac { 1 } { b } x + y = b\end{array}$$

A) $\left\{ \left( \frac { b \left( a ^ { 2 } - b \right) } { a b - 1 } , \frac { a \left( b ^ { 2 } - a \right) } { a b - 1 } \right) \right\}$

B) $\left\{ \left\{ \frac { b \left( a ^ { 2 } - b \right) } { a ( a b - 1 ) } , \frac { a \left( b ^ { 2 } - a \right) } { b ( a b - 1 ) } \right) \right\}$

C) $\left\{ \left( \frac { ( a b - 1 ) \left( a ^ { 2 } - b \right) } { a ^ { 2 } b } , \frac { ( a b - 1 ) \left( b ^ { 2 } - a \right) } { b ^ { 2 } a } \right) \right\}$

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