Question

Determine x e y para que se tenha:
(X+yi)*(3+4i)=7+26i

Answer 1

(x+yi)(3+4i)=7+26i
3x+4xi+3yi+4yi²=7+26i
3x+4xi+3yi+4y(-1)=7+26i
3x+4xi+3yi-4y=7+26i
(3x-4y)+(4x+3y).i=7+26i

3x-4y=7
4x+3y=26

3x-4y=7.(3)
4x+3y=26.(4)

9x-12y=21
16x+12y=104
___________
25x+0=125
x=125/25
x=5

3x-4y=7
3.5-4y=7
15-4y=7
-4y=7-15
-4y=-8
y=-8/-4
y=2