Solve k/1+6?

1 Answer

Answer:

#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#