# How do you find the values of m and n that make the equation #(2n-5)+(-m-2)i=3-7i#?

##### 1 Answer

Feb 17, 2017

See explanation.

#### Explanation:

Two complex numbers are equal if and only if their real parts are equal **and** their imaginary parts are equal.

In the given example this leads to a system of equations:

From the first equation we can calculate that:

The second equation leads to:

Answer: **The two numbers are equal for: #{(m=5),(n=4):}#**