Solve the System by Using Any Method $$\begin{array} { l } 3 ( 4 x - 3 ) = - 15 y - 1 \\\frac { 2 } { 3 } x + \frac { 5 } { 6 } y = - \frac { 1 } { 6 }\end{array}$$

question 168

Multiple Choice

Solve the system by using any method. If a system does not have one unique solution, state whether the
system is inconsistent or whether the equations are dependent.
- $$\begin{array} { l } 3 ( 4 x - 3 ) = - 15 y - 1 \\\frac { 2 } { 3 } x + \frac { 5 } { 6 } y = - \frac { 1 } { 6 }\end{array}$$

• A) \(\left\{ \left( 2 , - \frac { 16 } { 15 } \right) \right\}\)
• B) No solution; \{ \} ; inconsistent system
• C) \(\left\{ \left( 0 , - \frac { 1 } { 5 } \right) \right\}\)
• D) \(\left\{ \left( - 1 , \frac { 4 } { 3 } \right) \right\}\)

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Definitions:

Therapeutic Factors

Elements within therapy that contribute to its effectiveness, including techniques employed by the therapist and the therapeutic environment.

Therapeutic Methods

Diverse techniques and approaches used in therapy to treat psychological problems and disorders, aiming to improve mental health and well-being.

Interpersonal Therapeutic Factors

Elements within therapeutic relationships that contribute to healing and growth, such as empathy, trust, and mutual respect.

Premature Termination

The ending of a process or service earlier than planned or before its natural conclusion, often used in the context of therapy or contracts.