Question

how to solve for w
(1-wi)/(1-w)=(6-8i+3z-4zi)/(10-5z)

Answer 1

Well, I'd first rid myself of those fractions, can you do that?

Answer 2

yes

Answer 3

then please do

Answer 4

10-5z-10wi+5wzi=6-8i+3z-4zi-6w+8wi-3zw+4zwi

Answer 5

-18wi+wzi+6w+3zw=-4+8z-8i-4zi

Answer 6

sorry, give me a sec I have my own question up and it's getting answered much quicker than I thought it would

Answer 7

w=(-4+8z-8i-4zi)/(6+3z-18i+zi)

Answer 8

how would i simplify this

Answer 9

I got slightly different fraction

Answer 10

\[\frac{8z-4}{-18i+zi+6+3z}\]

Answer 11

\(\frac{1-wi}{1-w}=\frac{6-8i+3z-4zi}{10-5z}\\
{\color{Red} {(1-wi)}}{\color{Magenta} {(10-5z)}}={\color{Magenta} {(6-8i+3z-4zi )}} {\color{Red} {(1-w)}} \\
10-5z-10wi+5wzi=6-8i+3z-4zi -6w+8wi-3zw+4zwi\\
{\color{Blue} {(10-5z)}}+{\color{Green} {(5wz-10w)}}i={\color{Blue} {(6+3z-6w-3zw)}}+{\color{Green} {(4zw+8w-4z-8)}}i\\
\text{so u would have two equations :-}\\
\text{equation 1 }\\
10z-5z=6+3z-6w-3zw
\text{equation 2 }\\
5wz-10w=4zw+8w-4z-8\)