# COMPLEX NUMBER Determine real numbers x and y for which equation is true. 2x 3yi=2 9i

2
by ankitdgr8est

2014-09-03T16:55:09+05:30

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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

2014-09-04T20:32:01+05:30
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
2x=2
dividing both sides by 2
x=1
And imaginary parts of the left side and the right side also must be equal
so the equation becomes
3y=9
dividing both sides by 3
y=3
hence the values are x=1 and y=3