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\(3x + xi − 2y = 12 − iy − i;\)

Please tell me how do i find x and y step by step

I know the method with the real part and the imaginary part but what should i do when the real part includes both x and y?

 

Thanks

 Dec 18, 2016
 #1
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Solve for x:
(3 + i) x - 2 y = (12 - i) + (0 - i) y

(3 + i) x - 2 y = (3 + 1 i) x - 2 y and (12 - i) + (0 - i) y = (0 - i) y + 12 - i:
(3 + 1 i) x - 2 y = (0 - i) y + 12 - i

Add 2 y to both sides:
(3 + i) x = (2 - i) y + 12 - i

Divide both sides by 3 + i:
Answer: |x = (1/2 - i/2) y + 7/2 - (3 i)/2

 Dec 18, 2016
 #2
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3x + xi - 2y = 12-iy-i    add iy  and i to both sides

3x + xi -2y +iy +i = 12    and 'reverse distributive property'

3x + i(x+y+1) -2y = 12    now you cannot do much more unless you have another equation relating x and y 

                                           to reach a discrete solution for x,y  (though you can solve for x in terms of y    or y in terms of x as guest 1  did above....but you cannot find an answer for x,y)

 

or you could say   x(3+i) - y(2-i)  + i = 12

 Dec 18, 2016
edited by ElectricPavlov  Dec 18, 2016

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