Solve k/1+6?

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Answer 1 · 2017-01-24T00:39:44

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

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:

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

$7=k$