Answer:
X=0 and Y= 4(2i-1)/5
Step-by-step explanation:
Here is my solution, assuming that the equation equals 0. For y, just remember the definition of complex numbers and multiply by its conjugate.
The value of x and y are -8/7 and -4 respectively if (x + yi) + 2(3x - y) + 4i = 0.
It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.
We have a complex number:
(x + yi) + 2(3x - y) + 4i = 0
After arranging:
x + yi + 6x - 2y + 4i = 0
7x - 2y + yi + 4i = 0
7x - 2y + (y + 4)i = 0
7x - 2y = 0
y + 4 = 0
This is the linear equation in two variables:
Plug y = -4 in the other equation:
7x - 2(-4) = 0
7x = -8
x = -8/7
y = -4
Thus, the value of x and y are -8/7 and -4 respectively if (x + yi) + 2(3x - y) + 4i = 0.
Learn more about the complex number here:
brainly.com/question/10251853
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