Question

Question #73340

Answer 1

`x` is `(5y-15/2)-1`

Explanation:

`y-3=2/5(x+1)`
First, we switch sides.
`2/5(x+1)=y-3` (This makes it easier)
Then we multiply both sides by 5.
`color(blue)5color(blue)*2/cancel(5)(x+1)=5y-3color(blue)*color(blue)5`

So now we can simplify it to
`2(x+1)=5y-15`.

Then, we divide both sides by `2`.
`(2(x+1))/2=(5y)/2-15/2`
Which is also `x+1=(5y-15)/2`
Subtract `1` from both sides.
`x+1color(blue)-color(blue)1=(5y-15)/2color(blue)-color(blue)1`
Simplify.
`x=(5y-15)/2-1`

Hope this helped.