Question

determinar x e y reais de modo que (2x+y)+6i=5+(x+4y)i

Answer 1

(2x+y)+6=5+(x+4y) = 2x + y + 6 = 5 +x + 4y 
2x + y +6 -5 -x -4y = 0 
x -3y + 1 =0 => x = 3y-1 

2(3y-1)+6 = 5+ 3y-1 +4y 
6y - 2 +6 = 7y +4 
6y -7y= 4-4 
6y-7y = 0 => y = 0 

x= 3y -1=> x=0-1 => x = -1 

S={-1,0}