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Is the Question :  2x + 3 y i = 2 + 9 i  ??
If So,  Between L H S and R H S, we always have the real parts equal and the imaginary parts equal to each other.

Since x and y are real numbers, we get

    2 x = 2        x = 1
    3 y  = 9         y = 3

0 0 0
The real part of the left is 2x and the real part of the right side is 2
These two must be equal
So the equation can be written as
dividing both sides by 2
And imaginary parts of the left side and the right side also must be equal
so the equation becomes
dividing both sides by 3
hence the values are x=1 and y=3
0 0 0
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