- #1

- 14

- 3

## Homework Statement

So the problem I have is this silly little equation..

$$\frac {z - 7}{z + 3} = i $$

## Homework Equations

This is the thing, I don't think you need anything more advanced than basic algebra to solve this problem.

## The Attempt at a Solution

And I've tried solving it doing the following:

$$\frac {z - 7}{z + 3} = i $$

Adding ## z+3 ## to both sides ending up with:

$$z - 7 = i(z + 3) $$

Solving the parenthesis

$$z - 7 = iz + 3i $$

Subtracting the 7

$$z = iz + 3i + 7$$

This is where I'm getting stuck, would anyone be kind and explain where I've done something wrong?

According to the Answers sheet i'm supposed to end up with ## z = 2 + 5i ##. I don't really care about the correct answer what I want to know is how to get there without screwing up.

Cheers!