Question

What is the equation for the inverse relation of `y= 2x-5`?

Answer 1

The inverse is
`(x+5)/2 =y`

Explanation:

In order to find the inverse relation for the equation `y=2x-5`
begin by switching the `x` and `y` variables and then solve for the `y` value.

`y=2x-5`

Switch `x` and `y`.
`x=2y-5`

Use additive inverse to isolate the `y` term.
`x +5 = 2y cancel(-5) cancel (+5)`

Use multiplicative inverse to isolate the `y` variable.
`(x+5)/2 = (cancel2y)/cancel2`

The inverse is
`(x+5)/2 =y`