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 85

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

---

Definitions:

Equal Protection

A legal principle found in the 14th Amendment of the U.S. Constitution that requires states to treat all citizens equally under the law.

Jim Crow Laws

Laws that were enacted in the southern United States to enforce racial segregation and disenfranchise African Americans from the late 19th to mid-20th century.

Racial Segregation

Is the systematic separation of people into racial or ethnic groups in daily life.

Plessy v. Ferguson

The 1896 Supreme Court decision that upheld the constitutionality of racial segregation under the “separate but equal” doctrine.