Question

How do you solve the equation `130=11k+9`?

Answer 1

See a solution process below:

Explanation:

First, subtract `color(red)(9)` from each side of the equation to isolate the `k` term while keeping the equation balanced:

`130 - color(red)(9) = 11k + 9 - color(red)(9)`

`121 = 11k + 0`

`121 = 11k`

Now, divide each side of the equation by `color(red)(11)` to solve for `k` while keeping the equation balanced:

`121/color(red)(11) = 11k/color(red)(11)`

`11 = color(red)(cancel(color(black)(11)))k/cancel(color(red)(11))`

`11 = k`

`k = 11`

Answer 2

`k = 11`

Explanation:

Make `k` the subject of the equation as explained below:

`130=11k+9`

Subtract `130` both sides:

`130-130 = 11k + 9 -130`

`0=11k+9-130`

Subtract `11k` both sides:

`0-11k = -121`

`-11k = -121`

`k= -(121/-11)`

`k = 11`

Check the answer:

`130 = 11(11) +9`
`130 = 121+9`