# How do you find the values of m and n that make the equation #(2m+5)+(1-n)i=-2+4i# true?

##### 1 Answer

Nov 23, 2016

#### Explanation:

For the 2 complex numbers to be equal, the coefficients of the real parts and the imaginary parts must be equal.

#rArr2m+5=-2" and " 1-n=4# solve:

#2m+5=-2rArrm=-7/2# solve :

#1-n=4rArrn=-3# Check.

#rArr(2xx-7/2)+5=-7+5=-2# and

#1-(-3)=4#