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

question 470

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

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