Question

Solve k/1+6?

Answer 1

`1=k/1+6 => k=-5`
`1=k/(1+6) => k=7`

Explanation:

I'm going to answer this a couple of different ways using a couple of different assumptions.

First I'm going to assume there are no brackets, which gives us:

`1=k/1+6`

We know that anything divided by 1 is itself, so we can now write this as:

`1=k+6`

We can subtract 6 from both sides and we'll get:

`1color(red)(-6)=k+6color(red)(-6)`

`-5=k`

Now I'm going to assume that there are brackets around the denominator on the right side, which gives us:

`1=k/(1+6)`

First we simplify the denominator:

`1=k/7`

At this point we can see that `k=7`. But let's go ahead and finish solving it to prove it. Let's multiply both sides by 7:

`1color(red)(xx7)=k/7 color(red)(xx7)`

`7=k`