Question

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

Answer 1

(2 − 3i) + (x + yi) = 6

We add the left hand side

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

6 can be written in a+ib

6 can be written as 6 + 0i

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

Now we frame 2 equations

2 + x= 6

-3 + y =0

Solve the first equation

2 + x = 6

Subtract 2 from both sides

x = 4

solve the second equation

-3 + y =0

Add 3 on both sides

y= 3

So x+yi is 4+3i

Answer 2

Answer:

x + yi = 4 + 3i

Step-by-step explanation:

Equation:

(2 − 3i) + (x + yi) = 6

Simple solution:

(2 − 3i) + (x + yi) = 6

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

=  x + yi = 6 - 2 +3i

=  x + yi = 4 + 3i

                                                               =  x + yi = 4 + 3i