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2-3i+x+yi =6+0.i


2+x-i(3-y)=6+0.i


2+X=6


X=4


i(3-y)=0.i


Y=3


x+y.i


4+3i

Answer:

x + yi = 4 + 3i .

Step-by-step explanation:

Given : If (2 − 3i) + (x + yi) = 6,

To find : x + yi.

Solution : We have given that (2 − 3i) + (x + yi) = 6

We can rewrite the equation as

(2 − 3i) + (x + yi) = 6 + 0i

On removing parenthesis

2 − 3i + x + yi = 6 + 0i

On removing by 2 both sides

− 3i + x + yi = 6 - 2 + 0i.

− 3i + x + yi = 4 + 0i.

On adding 3i both sides

x + yi = 4 + 3i .

Therefore, x + yi = 4 + 3i .

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