# How do you find the values of m and n that make the equation #8+15i=2m+3ni# true?

##### 1 Answer

Jan 6, 2017

Please see below.

#### Explanation:

Complex numbers are equal exactly when the real parts are equal and the imaginary parts are equal.

So

#8 = 2m# and#15 = 3n# . And this happens only when

#m=4# and#n=5# .

**Note** Students sometimes wonder why mathematicians bother to state when two complex numbers are equal. After we state it, some react with "Well, obviously!".

But consider another kind of two-part number -- fractions.

When is

Since

(In case you've forgotten, the answer is