We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
79
2
avatar+583 

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+19832 
+2

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+6045 
+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

12 Online Users