# Thread: real numbers of an equation

1. ## real numbers of an equation

Hi, I need to find all the real numbers to satisfy x & y for the following equation 2x-1+2yi=4x-5i HELP

2. Originally Posted by babs21
Hi, I need to find all the real numbers to satisfy x & y for the following equation 2x-1+2yi=4x-5i HELP
The real and imaginary parts of this equation both need to be satisfied. So we have that:
$\displaystyle 2x - 1 = 4x$
and
$\displaystyle 2y = -5$

Can you take it from here?

-Dan

3. so x = -1/2 and y = -5/2 but what about i I am lost

4. Originally Posted by topsquark
The real and imaginary parts of this equation both need to be satisfied. So we have that:
$\displaystyle 2x - 1 = 4x$
and
$\displaystyle 2y = -5$

Can you take it from here?

-Dan
Originally Posted by babs21
so x = -1/2 and y = -5/2 but what about i I am lost
I was factored out of the equation
$\displaystyle 2yi=-5i$

to make

$\displaystyle 2y=-5$