Question

If 2i + (x + yi) = 6, what is x + yi?

Answer 1

collect your imaginary parts
and your real parts
then compare both sides

Answer 2

What do I do with the y?

Answer 3

for example
if
ai+(b+ci)=e+di
b+ai+ci=e+di
b+(a+c)i=e+di

means
b=e
and
a+c=d

Answer 4

you have
2i+(x+yi) on your left hand side
6+0i on the right hand side

Answer 5

can you identify the real part on both sides of your equation?

can you identify the imaginary part on both sides of your equation?

Answer 6

2i, yi, and 0i are imaginary, x and 6 are real?

Answer 7

so x is 6 then

Answer 8

and 2i+yi=0i

Answer 9

factor out the i on the left hand expression of 2i+yi=0i

Answer 10

y is -2

Answer 11

So 6 -2i is my answer?

Answer 12

yes (2+y)i=0i
implies 2+y =0
so y=-2

Answer 13

yes

Answer 14

Awesome, thank you.

Answer 15

np