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

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jessieriley123 jessieriley123 · Answer 1 · 2016-04-18T23:41:43+02:00

the expression simplifies to
3(x+yi) +3i =9
x+yi =(9-3i)/3
x+yi= 3-i

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raphealnwobi raphealnwobi · Answer 2 · 2022-05-02T11:02:55+02:00

The complex number (x + yi) + (2(x + yi) + 3i) = 9 gives the value of x + yi as 3 - i

A complex number is a number of the form a + bi, where a and b are real numbers, and i = √-1

i² = (√-1)² = -1

Given the expression:

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

Hence:

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

3x + 3yi + 3i = 9

3(x + yi + i) = 9

(x + yi + i) = 3

x + yi = 3 - i

The complex number (x + yi) + (2(x + yi) + 3i) = 9 gives the value of x + yi as 3 - i

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