Verified answer

You have to equate coefficients. Since there is an equality between the left and right hand side, if you have a complex number "a+bi," then the "a" and "b" must be equal on each side such that the numbers are the same.

(2x-1) + i = y - (3-y)i

So you have that 2x-1 = y to equate the "a" coefficients

And 1 = -(3-y) to equate the "b" coefficients

1 = -3 + y

y = 4

2x -1 = y

2x - 1 = 4

2x = 5

x = 5/2

Well, if x and y can be anything, then there's no way to solve this.

However, if we just want real values for x and y, then here's how it works:

For a complex number to be equal to another complex number, we need two things:

(1) Real parts are equal.

2x - 1 = y

(2) Imaginary parts are equal.

1 = -(3 - y) = -3 + y

Now we can solve.

1 = -3 + y

y = 4

Substituting this into the equation 2x - 1 = y, we get

2x - 1 = 4

2x = 5

x = 5/2.

So the answer is:

x = 5/2, y = 4.

1 = y-3

2x-1 = y

1-2x = -2

x = 2/3

y = 1/3

wow, i did do maths a lONg time ago, I just remember after seeing these guys answeres.lol.

I use to do these things, so weird, i kind of miss it. lol