Answer
$$\frac{11-7i}{1+i}+9i=2$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{11-7i}{1+i}+9i& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}2-9i+9i \xlongequal{ } \\[1 em] & \xlongequal{ }2 -\cancel{9i}+ \cancel{9i} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}2\end{aligned} $$ | |
| ① | Divide $ \, 11-7i \, $ by $ \, 1+i \, $ to get $\,\, 2-9i $. ( view steps ) |
| ② | Combine like terms: $$ 2 \, \color{blue}{ -\cancel{9i}} \,+ \, \color{blue}{ \cancel{9i}} \, = 2 $$ |
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