# How do you find the values of m and n that make the equation 2m+(3n+1)i=6-8i?

Jan 29, 2017

$m = 3 \text{ and } n = - 3$

#### Explanation:

What we have to do here is $\textcolor{b l u e}{\text{equate terms}}$ of the $\textcolor{b l u e}{\text{real and imaginary}}$ terms on both sides of the equation.

For the equation to be true, then.

$2 m = 6 \Rightarrow m = 3 \leftarrow \textcolor{red}{\text{real parts}}$

$3 n + 1 = - 8 \Rightarrow n = - 3 \leftarrow \textcolor{red}{\text{imaginary parts}}$