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((-21+65 i)+(-30+12 i)=)/({:[-×],[+=]:})
Express your answer in the form
(a+bi).

$\frac{(-21+65 i)+(-30+12 i)=}{\substack{-\times \\+\neq}}$ $\newline$ Express your answer in the form $(a+b i)$ .

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Is (x, y) a solution to the system of equations?

Full solution

Q.

\frac{(-21+65 i)+(-30+12 i)=}{\substack{-\times \\+\neq}}

\newline

Express your answer in the form

(a+b i)

.

Addition of Real Parts: To add two complex numbers, we add their real parts together and their imaginary parts together separately. $\newline$ So, we take the real part of the first complex number, $-21$ , and add it to the real part of the second complex number, $-30$ . $\newline$ $-21 + (-30) = -51$
Addition of Imaginary Parts: Next, we add the imaginary parts together. We take the imaginary part of the first complex number, $65i$ , and add it to the imaginary part of the second complex number, $12i$ . $\newline$ $65i + 12i = 77i$
Combining the Real and Imaginary Parts: Now we combine the sum of the real parts with the sum of the imaginary parts to get the final result in the form $(a+bi)$ . $\newline$ The sum is $-51$ for the real part and $77i$ for the imaginary part. $\newline$ So, the sum of the two complex numbers is $(-51 + 77i)$ .

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