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

question 248

Multiple Choice

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

• A) \(\left\{ \left\{ - \frac { 1 } { a b } , \frac { a + b } { a b } \right) \right\}\)
• B) \(\left\{ \left( - \frac { 1 } { a b } , \frac { b - a } { a b } \right] \right\}\)
• C) \(\left\{ \left( \frac { 1 } { a b } , \frac { a - b } { a b } \right) \right\}\)
• D) \(\left\{ \left( \frac { 1 } { a b } , a + b \right) \right\}\)

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Definitions:

Night of the Long Knives

A purge that took place in Nazi Germany from June 30 to July 2, 1934, where Adolf Hitler ordered the execution of potential political rivals and dissenters.

S.A.

Also known as the Sturmabteilung, the original paramilitary wing of the Nazi Party, known for their significant role in Adolf Hitler's rise to power.

Lebensraum

A concept from German geopolitics, literally meaning "living space," used to justify expansionist policies by claiming the necessity of acquiring more territory for a nation's growth.