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Hi friends,

 

please help me with this one: Determine the values of x and y

 

x + 2i - y = yi - 3xi

 

thank you!!

 Oct 11, 2019
 #1
avatar+26006 
0

First , bust it up into its real and imaginary components:

2i=yi-3xi   and   x = y       since x = y, sub this into the first equation

2i =xi-3xi

2i = -2xi

x = -1       so   since x=y     y = -1  

 Oct 11, 2019
 #2
avatar+6196 
+2

\(x+2i - y = i y - i 3x\\ (3i +1) x + 2i =y(1+i) \\ y = \dfrac{(3i+1)x + 2i}{1+i}\\ y = \dfrac{(2+4i)x + (2+2i)}{2} = (1+2i)x+(1+i)\)

 

Now if both x and y are real you can apply EP's answer.

 Oct 11, 2019

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