Question

Question #5db08

Answer 1

`x = 1 - (y+1)/z`

Explanation:

Your starting equation looks like this

`xz + y + 1 = z`

Your goal here is to solve this equation for `x`, which essentially means that you must isolate `x` on one side of the equation.

The first thing to do here is add `-(y+1)` to both sides of the equation

`xz + color(red)(cancel(color(black)(y + 1))) - color(red)(cancel(color(black)((y + 1)))) = z - (y+1)`

This is equivalent to

`xz = z - (y + 1)`

Now all you have to do is divide both sides of the equation by `z` to get `x` alone on the left side

`(x * color(red)(cancel(color(black)(z))))/color(red)(cancel(color(black)(z))) = (z-(y+1))/z`

Your answer will be

`x = (z - (y+1))/z = z/z - (y+1)/z = 1 - (y+1)/z`

Notice that you need to have `z!=0` in order for this to work.