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 $b = \frac { 1 } { y }$ . $\left\{ \begin{array} { l } \frac { 1 } { x } + \frac { 1 } { y } = \frac { 11 } { 30 } \\\frac { 1 } { x } - \frac { 1 } { y } = \frac { 1 } { 30 }\end{array} \right.$

---

Definitions:

Interest Payment

The amount paid by a borrower to a lender as a charge for borrowing money, usually expressed as an annual percentage of the principal amount.

Note Settlement

The process of satisfying the obligations of a promissory note, typically involving the repayment of the principal and accrued interest.

Past Due Account

An account that has not been paid by the deadline, resulting in overdue payments.

Accounting Equation

The fundamental formula in accounting that represents the relationship between assets, liabilities, and equity: Assets = Liabilities + Equity.