Hello, do you know that for any a, b and c real numbers with c different from 0 the following is correct?
[tex]\dfrac{a+b}{c}=\dfrac{a}{c}+\dfrac{b}{c}[/tex]
Then,
[tex]\dfrac{41-13i}{25}=\dfrac{41}{25}-\dfrac{13}{25}i[/tex]
So,
[tex]a=\dfrac{41}{25}\\\\b=\dfrac{-13}{25}[/tex]
Thank you.