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

question 17

Multiple Choice

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

• A) \(\left\{ \left( - \frac { a ^ { 2 } - b ^ { 3 } } { a b } , - \frac { b ^ { 2 } - a ^ { 3 } } { a b } \right) \right\}\)
• B) \(\left\{ \left\{ \frac { a ^ { 2 } - b ^ { 3 } } { a + b } , \frac { a ^ { 2 } - b ^ { 3 } } { a + b } \right) \right\}\)
• C) \(\left\{ \left\{ \frac { \mathrm { b } ^ { 3 } } { 1 - \mathrm { ab } } , \frac { \mathrm { a } ^ { 3 } } { 1 - \mathrm { ab } } \right) \right\}\)
• D) \(\left\{ \left\{ \frac { a ^ { 2 } - b ^ { 3 } } { 1 - a b } , \frac { b ^ { 2 } - a ^ { 3 } } { 1 - a b } \right) \right\}\)

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