Solve the System for X and Y Using Cramerʹs Rule $$x + \frac { 1 } { a } y = a$$

question 470

Multiple Choice

Solve the system for x and y using Cramerʹs rule. Assume a and b are nonzero constants.
- $$x + \frac { 1 } { a } y = a$$
$$\frac { 1 } { b } x + y = b$$

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

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Definitions:

Easy Temperament

A child's behavioral style characterized by regularity, adaptability, and a generally positive mood.

Difficult Temperament

A temperament characterized by intense reactions, frequent negative moods, and a slow adaptation to new experiences and environments.

Wary

Feeling or showing caution about possible dangers or problems; watchfulness.

Emotional Reactivity

The sensitivity and intensity of emotional responses to stimuli.