If (x + yi) + (2(x + yi) + 3i) = 9, what is x + yi?

A.
3 − i
B.
-3 + i
C.
-3 − i
D.
3 + i
E.
9 − 3i

Question

markzurita markzurita

05-03-2019
Mathematics

contestada

If (x + yi) + (2(x + yi) + 3i) = 9, what is x + yi?

A.
3 − i
B.
-3 + i
C.
-3 − i
D.
3 + i
E.
9 − 3i

Respuesta :

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kudzordzifrancis kudzordzifrancis · Answer 1 · 2019-03-05T18:05:31+01:00

kudzordzifrancis kudzordzifrancis

05-03-2019

Answer:

A. [tex]3-i[/tex]

Step-by-step explanation:

Given the complex number expression;

[tex](x+yi)+(2(x+yi)+3i)=9[/tex]

Expand:

[tex](x+yi)+2(x+yi)+3i=9[/tex]

Group similar expressions;

[tex](x+yi)+2(x+yi)=9-3i[/tex]

Simplify

[tex]3(x+yi)=9-3i[/tex]

Solve for [tex](x+yi)[/tex];

[tex]3(x+yi)=3(3-i)[/tex]

Divide through by 3;

[tex](x+yi)=3-i[/tex]

Answer Link

zainebamir540 zainebamir540 · Answer 2 · 2019-03-05T18:12:08+01:00

zainebamir540 zainebamir540

05-03-2019

Answer:

Choice A is correct. x+yi = 3-i is the answer.

Step-by-step explanation:

We have given an equation:

(x + yi) + (2(x + yi) + 3i) = 9

We have to find the value of x + yi =?

Solving the given equation we get,

(x + yi) + (2(x + yi) + 3i) = 9

(x + yi) + (2x+2yi+3i) = 9

x+yi +2x+2yi+3i =9

3x+3yi+3i = 9

3(x+yi+i) = 9

(x+yi+i) = 3

x+yi = 3-i is the answer.

Choice A is correct.

Answer Link

If (x + yi) + (2(x + yi) + 3i) = 9, what is x + yi? A. 3 − i B. -3 + i C. -3 − i D. 3 + i E. 9 − 3i

Respuesta :

Otras preguntas

If (x + yi) + (2(x + yi) + 3i) = 9, what is x + yi?

A.
3 − i
B.
-3 + i
C.
-3 − i
D.
3 + i
E.
9 − 3i