SOLUTION: I am having difficulty with 2 step equations reading the wording and then translating it to numbers. question: The difference of 8 and the quotient of a number and 6 is 9. th

Algebra ->  Equations -> SOLUTION: I am having difficulty with 2 step equations reading the wording and then translating it to numbers. question: The difference of 8 and the quotient of a number and 6 is 9. th      Log On


   



Question 24560: I am having difficulty with 2 step equations reading the wording and then translating it to numbers. question:
The difference of 8 and the quotient of a number and 6 is 9.
this is what I tried x divided by 8 +6=9 and my answer was x=24 am I correct


thanks in advance
Dave H.

Found 2 solutions by Earlsdon, AnlytcPhil:
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Let's try again.
The difference (means subtraction) of 8 and the quotient (means divide) of a number (x) and 6 (x/6) is (=) 9. In algebrese:
8+-+%28x%2F6%29+=+9 Subtract 8 from both sides of the equation.
-%28x%2F6%29+=+1 Multiply both sides by -6.
x+=+-6
Check:
8+-+-6%2F6+=+8+-+%28-1%29 = 8+%2B+1+=+9

Answer by AnlytcPhil(1806) About Me  (Show Source):
You can put this solution on YOUR website!
I am having difficulty with 2 step equations reading the
wording and then translating it to numbers. question:
The difference of 8 and the quotient of a number and 6 is 9.
this is what I tried x divided by 8 +6=9 and my answer was
x=24 am I correct 

No, I'm afraid not.  Learn these: 

The SUM of A and B is A+B
The DIFFERENCE of A and B is A-B
The PRODUCT of A and B is A×B
The QUOTIENT of A and B is A/B

Your problem was:

·   The difference of 8 and the quotient of a number and 6 is 9.

Look at the words I have colored red just below:

·   The difference of 8 and the quotient of a number and 6 is 9.

Replace a number by N (" x " or any other letter would do 
just as well).  We now have:

·   The difference of 8 and the quotient of N and 6 is 9.

Look at the part I have colored red below:

·   The difference of 8 and the quotient of N and 6 is 9.

Replace that red part by N/6

·   The difference of 8 and N/6 is 9.

Now look at the part I have colored red below:

·   The difference of 8 and N/6 is 9.

Replace that red part by 8 - N/6.

·   8 - N/6 is 9.

Finally replace the word "is" by an equal sign " = "

·   8 - N/6 = 9

Can you solve that? If not, post again.

   Answer: N = -6

Edwin
AnlytcPhil@aol.com