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

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