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

question 435

Multiple Choice

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

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

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Definitions:

Person-Centered Theory

A psychological approach that emphasizes the importance of the individual's subjective experience and innate capacity for personal growth and self-healing.

MI Principles

The foundational principles of Motivational Interviewing, a counseling approach that aims to enhance a person's motivation to change.

Psychoanalytic Theory

A theory originated by Sigmund Freud that emphasizes unconscious processes and childhood experiences in shaping personality and behavior.

Pharmacotherapy

The treatment of diseases, especially mental disorders, with the use of drugs or medications.