Find the values of m and n that make each equation true.

Question

There are two questions. I have no idea what I'm doing, so showing work would be really helpful. Thanks!

1. 8 + 15i = 2m + 3ni
2. (m + 2n) + (2m - n)i = 5 + 5i

Answer 1

(1) Well then

2m=8 and 3n=15

m=4 and n=5

(2) m + 2n = 5 and

2m - n = 5

the second equation says 2m-5 = n

substitutes into first eq: m + 2(2m-5) = 5

m + 4m-10 = 5

5m = 15

m=3

n=1