Answer:
Sharon is wrong in step 2.
Step-by-step explanation:
So, basically we need to look at how Sharon step by step solved this problem.
We need to check her work by solving it ourselves, and seeing what she did wrong.
So we have:
9=-3(e-2)
The first thing that we need to do is distrubute the -3 to the e and -2:
9=-3e+6
This is looks like step 1 of Sharon's work.
Now, we need to get -3e alone by getting all the numbers to one side. This means we need to get rid of the 6 by subtracting 6 from both sides:
3=-3e
This doesnt look like what Sharon got.
She has:
15=3w
How did she do this? Note everything from here to the next bolded words explains her incorrect method of solving.
Well, what if we factor out a negative sign, making -3e into 3e?
This would make +6 into -5.
Then you would get:
9=-(3e-6)
The reason why you CANNOT do this is one problem.
Anything that has been factored(basically a value that has had something taken from it), such as the - in our case, cannot be subtracted or added to another number.
The reason you cannot subtract or add a factored number is it changes the value of the answer. So pretty much subtracting and adding factored numbers is BIG NO NO.
Back to how we solve for e.
So we have already gotten to step 2 with:
3=-3e
Lets get e alone by dividing both sides by -3.
3/-3=-1.
-3e/-3 = e.
So our answer, in step 3 is:
-1=e
This is not needed for your answer, and only shows how you can double check your answer.
So if oyu arent 100% sure with this, lets double check.
We got -1 as e, so lets plug it into our orginal equation:
9=-3(e-2)
Plug in -1:
9=-3(-1-2)
Distrubute the -3:
9=3+6
Add together the numbers:
9=9
This is correct!
Hope this helps!
