Question

If (2 − 3i) + (x + yi) = 6, what is x + yi?

Answer 1

k

Answer 2

Stop @Error1603

Answer 3

Do you have answer choices? XD

Answer 4

(2−3i)+(x+yi)=6


(2+x)+(−3+y)i=6+0i

Answer 5

Beginning with the given
(2−3i)+(x+yi)=6

eliminate the parentheses. Rearrange the terms so that you have only x+yi on the left side.

Answer 6

How?

Answer 7

Which part would you like me to explain more how what?

Answer 8

Oh how to remove the parenthesis?

Answer 9

yes

Answer 10

Simplifying
(2 + -3i) + (x + yi) = 6

Answer 11

Remove parenthesis around (2 + -3i)
2 + -3i + (x + yi) = 6

Answer 12

Reorder the terms:
2 + -3i + (iy + x) = 6

Answer 13

Just take them off

Answer 14

Remove parenthesis around (iy + x)
2 + -3i + iy + x = 6

Answer 15

Solving
2 + -3i + iy + x = 6

Answer 16

Then what?

Answer 17

So now we will solve for i

Answer 18

Solving for variable 'i'.

Move all terms containing i to the left, all other terms to the right. that is ok

Answer 19

Do you understand?

Answer 20

Add '-2' to each side of the equation.
2 + -3i + iy + -2 + x = 6 + -2

Answer 21

Reorder the terms:
2 + -2 + -3i + iy + x = 6 + -2

Answer 22

ok then what?

Answer 23

Combine like terms: 2 + -2 = 0
0 + -3i + iy + x = 6 + -2
-3i + iy + x = 6 + -2

Hang on I am doing it as fast as I can

Answer 24

Combine like terms: 6 + -2 = 4
-3i + iy + x = 4

Answer 25

Add '-1x' to each side of the equation.
-3i + iy + x + -1x = 4 + -1x

Answer 26

Combine like terms: x + -1x = 0
-3i + iy + 0 = 4 + -1x
-3i + iy = 4 + -1x

Answer 27

Reorder the terms:
-4 + -3i + iy + x = 4 + -1x + -4 + x

Reorder the terms:
-4 + -3i + iy + x = 4 + -4 + -1x + x

Answer 28

Combine like terms: 4 + -4 = 0
-4 + -3i + iy + x = 0 + -1x + x
-4 + -3i + iy + x = -1x + x

Answer 29

Combine like terms: -1x + x = 0
-4 + -3i + iy + x = 0

Answer 30

ok then what?

Answer 31

Well can you figure it out from here?

Answer 32

yeah I got it thanks.

Answer 33

Ok awesome