Solve the System $a + b i$ For $( 7 - 4 i ) - ( 3 + 2 i )$

question 144

Essay

Solve the system. To do so, substitute $a + b i$ for $( 7 - 4 i ) - ( 3 + 2 i )$ and $4 - 6 i$ for $\frac { 1 } { y }$ and solve for $\alpha$ and $b$ . Then find $x$ and $y$ using the fact that $a = \frac { 1 } { x }$ and $b = \frac { 1 } { y }$ . $\left\{ \begin{array} { l } \frac { 1 } { x } + \frac { 1 } { y } = \frac { 11 } { 30 } \\\frac { 1 } { x } - \frac { 1 } { y } = \frac { 1 } { 30 }\end{array} \right.$

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Definitions:

High-Risk Situations

Scenarios or conditions that significantly increase the likelihood of negative outcomes, such as relapse in substance abuse recovery or risky behaviors in health.

Immediate Determinants

Factors that directly influence and result in a specific outcome or effect, without any significant delay.

Mental Imagery

A mental rehearsal of an anticipated experience.

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Involves the process of learning and establishing new patterns of actions or reactions, typically aimed at improving quality of life or performance.