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

question 12

Multiple Choice

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

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

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Definitions:

Borderline Personality Disorder

A mental health disorder that impacts the way a person thinks and feels about themselves and others, causing problems functioning in everyday life. It includes self-image issues, difficulty managing emotions and behavior, and a pattern of unstable relationships.

Transference-focused Therapy

A psychodynamic treatment that aims to help patients understand and change the emotional distortions rooted in the transference relationship with the therapist.

Borderline Personality Disorder

A mental health condition characterized by unstable moods, behavior, and relationships, often resulting from a pattern of intense emotional experiences.

Narcissistic Personality Disorder

Syndrome marked by grandiose thoughts and feelings of one’s own worth as well as an obliviousness to others’ needs and an exploitative, arrogant demeanor.