Question

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

Answer 1

`m=3" and " n=-3`

Explanation:

What we have to do here is `color(blue)"equate terms"` of the `color(blue)"real and imaginary"` terms on both sides of the equation.

For the equation to be true, then.

`2m=6rArrm=3larrcolor(red)"real parts"`

`3n+1=-8rArrn=-3larrcolor(red)"imaginary parts"`