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Find the values of x and y? x+4iy=ix+y+3

Answer 1

Ethan Adkins

#x = 4, y=1 #

#x+4iy = ix + y + 3 #

#=> x - y + 4iy -ix = 3 #

#=> x-y + i ( 4y - x ) = 3 #

We can write #3# as #3 + 0i #

#=> x-y + i ( 4y-x ) = 3 + 0i#

Equating the real and imaginary parts...

#x-y =3 #

#4y-x = 0 #

#4y = x #

#=> 4y-y =3 => y =1 #

#=> x = 4 #

#color(red)( x = 4 , y = 1 #

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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