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igor_vitrenko [27]
3 years ago
9

If (2 − 3i) + (x + yi) = 6, what is x + yi? i really need help with these

Mathematics
2 answers:
ra1l [238]3 years ago
8 0
I hope this helps you


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
cupoosta [38]3 years ago
3 0

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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Maggie's brother is 3 years younger than four times her age. The sum of their ages is 62. How old is Maggie? Maggie is years old
Nadusha1986 [10]

Answer:

Maggie is 13 years old.

Step-by-step explanation:

1M + 1B = 62

rearrange to get:

1B = 62 - 1M

4M - 3 = 1B

substitute B with 62 - 1M so there is only one variable. this gives:

4M - 3 = 62 - 1M

Get all the variables on one side:

4M + 1M - 3 = 62

Get all non variables on the other side:

4M + 1M = 62 + 3

simplify:

5M = 65

Divide both sides by 5 to get the M by itself:

M = 13.

BONUS:

M + B = 62

B = 49

So her brother is 49 years old.

Maggie is 13 years old.

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